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22725624996 = 22322334978643
BaseRepresentation
bin10101001010100011…
…011000010010100100
32011122210021100211200
4111022203120102210
5333020224444441
614235013002500
71433106424314
oct251243302244
964583240750
1022725624996
119702028468
1244a2923430
1321b2293ba9
1411582a9444
158d01b37b6
hex54a8d84a4

22725624996 has 72 divisors (see below), whose sum is σ = 60115473600. Its totient is φ = 7224997824.

The previous prime is 22725624967. The next prime is 22725625009. The reversal of 22725624996 is 69942652722.

22725624996 is a `hidden beast` number, since 2 + 2 + 7 + 2 + 5 + 624 + 9 + 9 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249651 + ... + 328293.

Almost surely, 222725624996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22725624996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30057736800).

22725624996 is an abundant number, since it is smaller than the sum of its proper divisors (37389848604).

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

22725624996 is a wasteful number, since it uses less digits than its factorization.

22725624996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79025 (or 79020 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

It can be divided in two parts, 227256 and 24996, that added together give a palindrome (252252).

The spelling of 22725624996 in words is "twenty-two billion, seven hundred twenty-five million, six hundred twenty-four thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 349 414 698 828 1047 1396 2094 3141 4188 6282 8027 12564 16054 24081 32108 48162 72243 78643 96324 144486 157286 235929 288972 314572 471858 707787 943716 1415574 1808789 2831148 3617578 5426367 7235156 10852734 16279101 21705468 27446407 32558202 54892814 65116404 82339221 109785628 164678442 247017663 329356884 494035326 631267361 988070652 1262534722 1893802083 2525069444 3787604166 5681406249 7575208332 11362812498 22725624996