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157922232 = 233132359373
BaseRepresentation
bin10010110100110…
…11001110111000
3102000011021120120
421122123032320
5310412002412
623400453240
73625213446
oct1132331670
9360137516
10157922232
1181163346
1244a7a220
1326943b10
1416d8bb96
15dce6b8c
hex969b3b8

157922232 has 128 divisors (see below), whose sum is σ = 452390400. Its totient is φ = 45568512.

The previous prime is 157922189. The next prime is 157922251. The reversal of 157922232 is 232229751.

It is a junction number, because it is equal to n+sod(n) for n = 157922193 and 157922202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423198 + ... + 423570.

It is an arithmetic number, because the mean of its divisors is an integer number (3534300).

Almost surely, 2157922232 is an apocalyptic number.

157922232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157922232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226195200).

157922232 is an abundant number, since it is smaller than the sum of its proper divisors (294468168).

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

157922232 is a wasteful number, since it uses less digits than its factorization.

157922232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 473 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 157922232 is about 12566.7112642887. The cubic root of 157922232 is about 540.5233061509.

The spelling of 157922232 in words is "one hundred fifty-seven million, nine hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 59 69 78 92 104 118 138 156 177 184 236 276 299 312 354 373 472 552 598 708 746 767 897 1119 1196 1357 1416 1492 1534 1794 2238 2301 2392 2714 2984 3068 3588 4071 4476 4602 4849 5428 6136 7176 8142 8579 8952 9204 9698 10856 14547 16284 17158 17641 18408 19396 22007 25737 29094 32568 34316 35282 38792 44014 51474 52923 58188 66021 68632 70564 88028 102948 105846 111527 116376 132042 141128 176056 205896 211692 223054 264084 286091 334581 423384 446108 506161 528168 572182 669162 858273 892216 1012322 1144364 1338324 1518483 1716546 2024644 2288728 2676648 3036966 3433092 4049288 6073932 6580093 6866184 12147864 13160186 19740279 26320372 39480558 52640744 78961116 157922232