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200

200 (two hundred) is used as the base of all googologisms by Lawrence Hollom. A faxul, for example, is equal to 200!, or the factorial of 200.[1]

CompactStar (previously named Nirvana Supermind) coined zero-vicenol and binary-zeroogol for this number, and is equal to Q<2,100> = Q<10,20> in quick array notation.[2]

DeepLineMadom calls the numbers unoogolnoniplex and boo-icol.[3]

ARsygo coined hectargum-unalum for this number, and is equal to \(f_1(100)\) using fast-growing hierarchy.[4]

In Maltese, it is called “mitejn”.[5]

In the game Ordinal Markup: Factor Shift Edition Minus, this is the smallest number the player must reach before they can preform an Infinity, and is equal to \(H_{\omega}(100)\) using the Hardy hierarchy.[6]

Properties[]

  • 200 is abundant.[14]
  • Its prime factorization is 23 × 52.

Currency-related use

Some currencies, such as the euro, the Israeli new shekel, the Swiss franc, the Brazilian real and the Venezuelan bolívar have banknotes with this number in the denomination.

Some currencies, such as the Hungarian forint and the Indonesian rupiah, have coins with this number in the denomination.

It is also the prize for correctly answering the first two questions in some national editions of the game show Who Wants to Be a Millionaire? in the respective local currency, and the prize for correctly answering the first three questions in the German game show Wer wird Millionär? in euros.

Finally, section 200 of the Irish Copyright and Related Rights Act, 2000 provides for perpetual copyright protection of Irish currency designs and forbids any use of it without explicit permission from the relevant authorities.

In chess

It is also the number of possible rook moves in 5×5 minichess.

In sports

Since at most one team from the Oceania Football Confederation may qualify for the FIFA World Cup, it is also the number of possible combinations of FIFA confederations for the first three places.

Coincidentally, there are currently 200 non-OFC members in FIFA.

Approximations[]

Notation Lower bound Upper bound
Up-arrow notation 14 ↑ 2
Scientific notation 2 x 102 2.001 x 102
Slow-growing hierarchy \(g_{\omega^{\omega}}(3)\) \(g_{\omega^{\omega}}(4)\)
Copy notation 1[3] 2[3]
Chained arrow notation 14 → 2
Bowers' Exploding Array Function/Bird's array notation {14,2}
Fast-growing hierarchy f2(5) f2(6)
Hardy hierarchy Hω(100) Hω(100)
Middle-growing hierarchy m(ω,7) m(ω,8)
Hyper-E notation E2.301
Hyper-E notation (non-10 base) \(E[14]2\)
Hyperfactorial array notation 5! 6!
X-Sequence Hyper-Exponential Notation 14{1}2
Steinhaus-Moser Notation 3[3] 4[3]
PlantStar's Debut Notation [1] [2]
H* function H(-0.3) H(-0.2)
Bashicu matrix system with respect to version 4 (0)[14] (0)[15]
m(n) map m(1)(3) m(1)(4)
s(n) map \(s(1)(\lambda x . x+1)(99)\) \(s(1)(\lambda x . x+1)(100)\)

Sources[]

  1. ↑ Lawrence Hollom's large numbers site
  2. ↑ Numbers from quick array notation Retrieved 2021-06-27.
  3. ↑ Pointless Googolplex Stuffs - DLMAN Part 1 (retrieved 9 November 2024)
  4. ↑ AR Googol - Fast-growing hierarchy numbers Retrieved 2025-03-25.
  5. ↑ http://omniglot.com/language/numbers/maltese.htm
  6. ↑ OM: Factor Shift Edition
  7. ↑ OEIS A002808 - Composite numbers
  8. ↑ Wolfram Alpha Is 200 composite?
  9. ↑ Wolfram Alpha 200's factors
  10. ↑ OEIS A005843 - Even numbers
  11. ↑ Wolfram Alpha Is 200 even?
  12. ↑ Wolfram Alpha Unhappy Numbers
  13. ↑ OEIS A031177 - Unhappy Numbers
  14. ↑ OEIS A005101 - Abundant numbers



See also[]

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