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157330208 = 25731139163
BaseRepresentation
bin10010110000010…
…10101100100000
3101222001012110202
421120022230200
5310234031313
623340044332
73620166440
oct1130125440
9358035422
10157330208
1180899572
12448336a8
13267974c9
1416c76120
15dc2b558
hex960ab20

157330208 has 96 divisors (see below), whose sum is σ = 370298880. Its totient is φ = 64385280.

The previous prime is 157330193. The next prime is 157330211. The reversal of 157330208 is 802033751.

157330208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 965135 + ... + 965297.

It is an arithmetic number, because the mean of its divisors is an integer number (3857280).

Almost surely, 2157330208 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 157330208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185149440).

157330208 is an abundant number, since it is smaller than the sum of its proper divisors (212968672).

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

157330208 is a wasteful number, since it uses less digits than its factorization.

157330208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 157330208 is about 12543.1338986714. The cubic root of 157330208 is about 539.8470165629.

Adding to 157330208 its reverse (802033751), we get a palindrome (959363959).

The spelling of 157330208 in words is "one hundred fifty-seven million, three hundred thirty thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 139 163 217 224 248 278 326 434 496 556 652 868 973 992 1112 1141 1304 1736 1946 2224 2282 2608 3472 3892 4309 4448 4564 5053 5216 6944 7784 8618 9128 10106 15568 17236 18256 20212 22657 30163 31136 34472 35371 36512 40424 45314 60326 68944 70742 80848 90628 120652 137888 141484 158599 161696 181256 241304 282968 317198 362512 482608 565936 634396 702367 725024 965216 1131872 1268792 1404734 2537584 2809468 4916569 5075168 5618936 9833138 11237872 19666276 22475744 39332552 78665104 157330208