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157223952 = 243223371283
BaseRepresentation
bin10010101111100…
…00110000010000
3101221211210201100
421113300300100
5310222131302
623333504400
73616244604
oct1127606020
9357753640
10157223952
1180826756
12447a2100
132675b032
1416c49504
15dc09d1c
hex95f0c10

157223952 has 120 divisors (see below), whose sum is σ = 471916224. Its totient is φ = 48736512.

The previous prime is 157223933. The next prime is 157223959. The reversal of 157223952 is 259322751.

157223952 is a `hidden beast` number, since 1 + 572 + 2 + 39 + 52 = 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 (157223959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121903 + ... + 123185.

Almost surely, 2157223952 is an apocalyptic number.

157223952 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 157223952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235958112).

157223952 is an abundant number, since it is smaller than the sum of its proper divisors (314692272).

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

157223952 is a wasteful number, since it uses less digits than its factorization.

157223952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1348 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 157223952 is about 12538.8975591955. The cubic root of 157223952 is about 539.7254571504.

The spelling of 157223952 in words is "one hundred fifty-seven million, two hundred twenty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 37 46 48 69 72 74 92 111 138 144 148 184 207 222 276 296 333 368 414 444 552 592 666 828 851 888 1104 1283 1332 1656 1702 1776 2553 2566 2664 3312 3404 3849 5106 5132 5328 6808 7659 7698 10212 10264 11547 13616 15318 15396 20424 20528 23094 29509 30636 30792 40848 46188 47471 59018 61272 61584 88527 92376 94942 118036 122544 142413 177054 184752 189884 236072 265581 284826 354108 379768 427239 472144 531162 569652 708216 759536 854478 1062324 1091833 1139304 1416432 1708956 2124648 2183666 2278608 3275499 3417912 4249296 4367332 6550998 6835824 8734664 9826497 13101996 17469328 19652994 26203992 39305988 52407984 78611976 157223952