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164772252 = 22331525669
BaseRepresentation
bin10011101001000…
…11100110011100
3102111001022001000
421310203212130
5314140203002
624203350300
74040353401
oct1164434634
9374038030
10164772252
1185011917
1247222390
13281a1998
1417c522a8
15e6eb61c
hex9d2399c

164772252 has 24 divisors (see below), whose sum is σ = 427187600. Its totient is φ = 54924048.

The previous prime is 164772233. The next prime is 164772319. The reversal of 164772252 is 252277461.

It is a happy number.

164772252 is a `hidden beast` number, since 1 + 647 + 7 + 2 + 2 + 5 + 2 = 666.

164772252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 762727 + ... + 762942.

Almost surely, 2164772252 is an apocalyptic number.

164772252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164772252 is an abundant number, since it is smaller than the sum of its proper divisors (262415348).

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

164772252 is a wasteful number, since it uses less digits than its factorization.

164772252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525682 (or 1525674 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 164772252 is about 12836.3644385784. The cubic root of 164772252 is about 548.2281847593.

The spelling of 164772252 in words is "one hundred sixty-four million, seven hundred seventy-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1525669 3051338 4577007 6102676 9154014 13731021 18308028 27462042 41193063 54924084 82386126 164772252