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157820166 = 23274912551
BaseRepresentation
bin10010110100000…
…10010100000110
3101222222002120100
421122002110012
5310400221131
623354344530
73624310050
oct1132022406
9358862510
10157820166
11810a3699
1244a2b146
132690951a
1416d628d0
15dcc67e6
hex9682506

157820166 has 48 divisors (see below), whose sum is σ = 391742208. Its totient is φ = 44982000.

The previous prime is 157820147. The next prime is 157820203. The reversal of 157820166 is 661028751.

157820166 is a `hidden beast` number, since 1 + 578 + 20 + 1 + 66 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 157820166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60591 + ... + 63141.

It is an arithmetic number, because the mean of its divisors is an integer number (8161296).

Almost surely, 2157820166 is an apocalyptic number.

157820166 is an abundant number, since it is smaller than the sum of its proper divisors (233922042).

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

157820166 is a wasteful number, since it uses less digits than its factorization.

157820166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3057 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 157820166 is about 12562.6496408998. The cubic root of 157820166 is about 540.4068333345.

The spelling of 157820166 in words is "one hundred fifty-seven million, eight hundred twenty thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 491 982 1473 2551 2946 3437 4419 5102 6874 7653 8838 10311 15306 17857 20622 22959 30933 35714 45918 53571 61866 107142 160713 321426 1252541 2505082 3757623 7515246 8767787 11272869 17535574 22545738 26303361 52606722 78910083 157820166