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165256164 = 223231148079
BaseRepresentation
bin10011101100110…
…01101111100100
3102111221212211200
421312121233210
5314301144124
624222002500
74044440253
oct1166315744
9374855750
10165256164
1185312447
1247416430
1328311018
1417d3a79a
15e794bc9
hex9d99be4

165256164 has 36 divisors (see below), whose sum is σ = 431208960. Its totient is φ = 53308080.

The previous prime is 165256163. The next prime is 165256193. The reversal of 165256164 is 461652561.

165256164 is a `hidden beast` number, since 16 + 5 + 25 + 616 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 (165256163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72924 + ... + 75155.

Almost surely, 2165256164 is an apocalyptic number.

It is an amenable number.

165256164 is an abundant number, since it is smaller than the sum of its proper divisors (265952796).

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

165256164 is a wasteful number, since it uses less digits than its factorization.

165256164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148120 (or 148115 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 165256164 is about 12855.1998817599. The cubic root of 165256164 is about 548.7643488827.

The spelling of 165256164 in words is "one hundred sixty-five million, two hundred fifty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 148079 296158 444237 592316 888474 1332711 1776948 2665422 4590449 5330844 9180898 13771347 18361796 27542694 41314041 55085388 82628082 165256164