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157214436 = 223171947863
BaseRepresentation
bin10010101111011…
…10011011100100
3101221211022122220
421113232123210
5310221330221
623333352340
73616205061
oct1127563344
9357738586
10157214436
118081a595
12447986b0
13267568c2
1416c45c68
15dc070c6
hex95ee6e4

157214436 has 96 divisors (see below), whose sum is σ = 418037760. Its totient is φ = 45679104.

The previous prime is 157214429. The next prime is 157214437. The reversal of 157214436 is 634412751.

It is a junction number, because it is equal to n+sod(n) for n = 157214397 and 157214406.

It is not an unprimeable number, because it can be changed into a prime (157214437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181741 + ... + 182603.

It is an arithmetic number, because the mean of its divisors is an integer number (4354560).

Almost surely, 2157214436 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 157214436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209018880).

157214436 is an abundant number, since it is smaller than the sum of its proper divisors (260823324).

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

157214436 is a wasteful number, since it uses less digits than its factorization.

157214436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 951 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 157214436 is about 12538.5180942566. The cubic root of 157214436 is about 539.7145679464.

The spelling of 157214436 in words is "one hundred fifty-seven million, two hundred fourteen thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 17 19 34 38 47 51 57 68 76 94 102 114 141 188 204 228 282 323 564 646 799 863 893 969 1292 1598 1726 1786 1938 2397 2589 2679 3196 3452 3572 3876 4794 5178 5358 9588 10356 10716 14671 15181 16397 29342 30362 32794 40561 44013 45543 49191 58684 60724 65588 81122 88026 91086 98382 121683 162244 176052 182172 196764 243366 278749 486732 557498 689537 770659 836247 1114996 1379074 1541318 1672494 2068611 2311977 2758148 3082636 3344988 4137222 4623954 8274444 9247908 13101203 26202406 39303609 52404812 78607218 157214436