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231154164 = 22326539833
BaseRepresentation
bin11011100011100…
…10000111110100
3121002221211220100
431301302013310
5433133413124
634534234100
75504530563
oct1561620764
9532854810
10231154164
111095315aa
12654b5930
1338b74717
14229b1bda
15154601c9
hexdc721f4

231154164 has 36 divisors (see below), whose sum is σ = 585260676. Its totient is φ = 76925568.

The previous prime is 231154141. The next prime is 231154169. The reversal of 231154164 is 461451132.

It is a happy number.

231154164 is a `hidden beast` number, since 231 + 15 + 416 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 85710564 + 145443600 = 9258^2 + 12060^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231154169) 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, 18592 + ... + 28424.

It is an arithmetic number, because the mean of its divisors is an integer number (16257241).

Almost surely, 2231154164 is an apocalyptic number.

It is an amenable number.

231154164 is an abundant number, since it is smaller than the sum of its proper divisors (354106512).

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

231154164 is a wasteful number, since it uses less digits than its factorization.

231154164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10496 (or 10491 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 231154164 is about 15203.7549309373. The cubic root of 231154164 is about 613.7157097607.

The spelling of 231154164 in words is "two hundred thirty-one million, one hundred fifty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 653 1306 1959 2612 3918 5877 7836 9833 11754 19666 23508 29499 39332 58998 88497 117996 176994 353988 6420949 12841898 19262847 25683796 38525694 57788541 77051388 115577082 231154164