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157522221252 = 2232111013939233
BaseRepresentation
bin1001001010110100001…
…1100101100011000100
3120001120222211221112200
42102231003211203010
510040101142040002
6200210435514500
714244355534314
oct2225503454304
9501528757480
10157522221252
1160894207330
1226641a58a30
1311b14b1a956
1478a4809444
15416e1a0b1c
hex24ad0e58c4

157522221252 has 72 divisors (see below), whose sum is σ = 434433373920. Its totient is φ = 47728081920.

The previous prime is 157522221251. The next prime is 157522221271. The reversal of 157522221252 is 252122225751.

157522221252 is a `hidden beast` number, since 1 + 5 + 7 + 522 + 2 + 2 + 125 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (157522221251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3995428 + ... + 4034660.

It is an arithmetic number, because the mean of its divisors is an integer number (6033796860).

Almost surely, 2157522221252 is an apocalyptic number.

157522221252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

157522221252 is an abundant number, since it is smaller than the sum of its proper divisors (276911152668).

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

157522221252 is a wasteful number, since it uses less digits than its factorization.

157522221252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49393 (or 49388 counting only the distinct ones).

The product of its digits is 56000, while the sum is 36.

The spelling of 157522221252 in words is "one hundred fifty-seven billion, five hundred twenty-two million, two hundred twenty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 10139 20278 30417 39233 40556 60834 78466 91251 111529 117699 121668 156932 182502 223058 235398 334587 353097 365004 431563 446116 470796 669174 706194 863126 1003761 1294689 1338348 1412388 1726252 2007522 2589378 3884067 4015044 5178756 7768134 15536268 397783387 795566774 1193350161 1591133548 2386700322 3580050483 4375617257 4773400644 7160100966 8751234514 13126851771 14320201932 17502469028 26253703542 39380555313 52507407084 78761110626 157522221252