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232956045 = 32572105649
BaseRepresentation
bin11011110001010…
…10000010001101
3121020100101121200
431320222002031
5434114043140
635041020113
75526044100
oct1570520215
9536311550
10232956045
1110a552363
1266024639
133935591a
1422d20737
15156b9030
hexde2a08d

232956045 has 36 divisors (see below), whose sum is σ = 469719900. Its totient is φ = 106493184.

The previous prime is 232956037. The next prime is 232956047. The reversal of 232956045 is 540659232.

232956045 is a `hidden beast` number, since 23 + 29 + 5 + 604 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 149891049 + 83064996 = 12243^2 + 9114^2 .

It is not a de Polignac number, because 232956045 - 23 = 232956037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232956047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50620 + ... + 55029.

It is an arithmetic number, because the mean of its divisors is an integer number (13047775).

Almost surely, 2232956045 is an apocalyptic number.

It is an amenable number.

232956045 is an abundant number, since it is smaller than the sum of its proper divisors (236763855).

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

232956045 is a wasteful number, since it uses less digits than its factorization.

232956045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105674 (or 105664 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 232956045 is about 15262.8976606672. The cubic root of 232956045 is about 615.3062523875.

The spelling of 232956045 in words is "two hundred thirty-two million, nine hundred fifty-six thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 105649 316947 528245 739543 950841 1584735 2218629 3697715 4754205 5176801 6655887 11093145 15530403 25884005 33279435 46591209 77652015 232956045