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21255890436 = 2232112474
BaseRepresentation
bin10011110010111100…
…110010011000000100
32000212100201010001100
4103302330302120010
5322013001443221
613433111300100
71351512042024
oct236274623004
960770633040
1021255890436
11901843a100
12415267a630
13200993a681
141059003a84
15846146926
hex4f2f32604

21255890436 has 135 divisors (see below), whose sum is σ = 60342665383. Its totient is φ = 6304132560.

The previous prime is 21255890399. The next prime is 21255890441. The reversal of 21255890436 is 63409855212.

The square root of 21255890436 is 145794.

It is a perfect power (a square), and thus also a powerful number.

21255890436 is a `hidden beast` number, since 2 + 1 + 2 + 558 + 90 + 4 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21255890391 and 21255890400.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 452252965 + ... + 452253011.

Almost surely, 221255890436 is an apocalyptic number.

21255890436 is the 145794-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21255890436

21255890436 is an abundant number, since it is smaller than the sum of its proper divisors (39086774947).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21255890436 is an frugal number, since it uses more digits than its factorization.

21255890436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 21255890436 in words is "twenty-one billion, two hundred fifty-five million, eight hundred ninety thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 121 132 141 188 198 242 282 363 396 423 484 517 564 726 846 1034 1089 1452 1551 1692 2068 2178 2209 3102 4356 4418 4653 5687 6204 6627 8836 9306 11374 13254 17061 18612 19881 22748 24299 26508 34122 39762 48598 51183 68244 72897 79524 97196 102366 103823 145794 204732 207646 218691 267289 291588 311469 415292 437382 534578 622938 801867 874764 934407 1069156 1142053 1245876 1603734 1868814 2284106 2405601 3207468 3426159 3737628 4568212 4811202 4879681 6852318 9622404 9759362 10278477 12562583 13704636 14639043 19518724 20556954 25125166 29278086 37687749 41113908 43917129 50250332 53676491 58556172 75375498 87834258 107352982 113063247 150750996 161029473 175668516 214705964 226126494 322058946 452252988 483088419 590441401 644117892 966176838 1180882802 1771324203 1932353676 2361765604 3542648406 5313972609 7085296812 10627945218 21255890436