| 22500
< 22499 | 22501 > |
|||||||||
|---|---|---|---|---|---|---|---|---|---|
| All Numbers | |||||||||
| 22500 | 22501 | 22502 | 22503 | 22504 | 22505 | 22506 | 22507 | 22508 | 22509 |
| 22510 | 22511 | 22512 | 22513 | 22514 | 22515 | 22516 | 22517 | 22518 | 22519 |
| 22520 | 22521 | 22522 | 22523 | 22524 | 22525 | 22526 | 22527 | 22528 | 22529 |
| 22530 | 22531 | 22532 | 22533 | 22534 | 22535 | 22536 | 22537 | 22538 | 22539 |
| 22540 | 22541 | 22542 | 22543 | 22544 | 22545 | 22546 | 22547 | 22548 | 22549 |
| 22550 | 22551 | 22552 | 22553 | 22554 | 22555 | 22556 | 22557 | 22558 | 22559 |
| 22560 | 22561 | 22562 | 22563 | 22564 | 22565 | 22566 | 22567 | 22568 | 22569 |
| 22570 | 22571 | 22572 | 22573 | 22574 | 22575 | 22576 | 22577 | 22578 | 22579 |
| 22580 | 22581 | 22582 | 22583 | 22584 | 22585 | 22586 | 22587 | 22588 | 22589 |
| 22590 | 22591 | 22592 | 22593 | 22594 | 22595 | 22596 | 22597 | 22598 | 22599 |
22500 is the number following 22499 and preceding 22501.
Properties
- Its factors are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 125, 150, 180, 225, 250, 300, 375, 450, 500, 625, 750, 900, 1125, 1250, 1500, 1875, 2250, 2500, 3750, 4500, 5625, 7500, 11250 and 22500, making it a composite number.[1][2][3]
- 22500 is an even number[4][5] .
- 22500 is an unhappy number.[6][7]
- 22500 is a centered octagonal number.[8]
- 22500 is abundant.[9]
- Its prime factorization is 22 × 32 × 54.
- 22500 is a Harshad number, meaning it is divisible by the sum of its digits.[10]
Approximations
| Notation | Lower bound | Upper bound | |
|---|---|---|---|
| Up-arrow notation | 150 ↑ 2 | ||
| Scientific notation | 2.25 x 104 | 2.251 x 104 | |
| Slow-growing hierarchy | \(g_{\omega^{\omega}}(5)\) | \(g_{\omega^{\omega}}(6)\) | |
| Copy notation | 2[5] | 3[5] | |
| Chained arrow notation | 150 → 2 | ||
| Bowers' Exploding Array Function/Bird's array notation | {150,2} | ||
| Fast-growing hierarchy | f2(10) | f2(11) | |
| Hardy hierarchy | Hω(11250) | Hω(11250) | |
| Middle-growing hierarchy | m(ω,14) | m(ω,15) | |
| Hyper-E notation | E4.3522 | ||
| Hyper-E notation (non-10 base) | \(E[150]2\) | ||
| Hyperfactorial array notation | 7! | 8! | |
| X-Sequence Hyper-Exponential Notation | 150{1}2 | ||
| Steinhaus-Moser Notation | 5[3] | 6[3] | |
| PlantStar's Debut Notation | [2] | [3] | |
| H* function | H(0.4) | H(0.5) | |
| Bashicu matrix system with respect to version 4 | (0)[150] | (0)[150] | |
| m(n) map | m(1)(5) | m(1)(6) | |
| s(n) map | \(s(1)(\lambda x . x+1)(11249)\) | \(s(1)(\lambda x . x+1)(11250)\) | |
Sources
- ↑ OEIS A002808 - Composite numbers
- ↑ Wolfram Alpha Is 22500 composite?
- ↑ Wolfram Alpha 22500's factors
- ↑ OEIS A005843 - Even numbers
- ↑ Wolfram Alpha Is 22500 even?
- ↑ Wolfram Alpha Unhappy Numbers
- ↑ OEIS A031177 - Unhappy Numbers
- ↑ OEIS A016754 - Centered octagonal numbers
- ↑ OEIS A005101 - Abundant numbers
- ↑ OEIS A005349 - Harshad numbers