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232133157 = 3276133893
BaseRepresentation
bin11011101011000…
…01001000100101
3121011210120211100
431311201020211
5433411230112
635011230313
75516046024
oct1565411045
9534716740
10232133157
1110a040093
12658a8399
13391281c9
1422b888bb
15155a52dc
hexdd61225

232133157 has 12 divisors (see below), whose sum is σ = 335753964. Its totient is φ = 154547520.

The previous prime is 232133149. The next prime is 232133159. The reversal of 232133157 is 751331232.

232133157 is a `hidden beast` number, since 2 + 321 + 331 + 5 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64016001 + 168117156 = 8001^2 + 12966^2 .

It is not a de Polignac number, because 232133157 - 23 = 232133149 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 232133157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232133159) 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 11 ways as a sum of consecutive naturals, for example, 10098 + ... + 23795.

It is an arithmetic number, because the mean of its divisors is an integer number (27979497).

Almost surely, 2232133157 is an apocalyptic number.

It is an amenable number.

232133157 is a deficient number, since it is larger than the sum of its proper divisors (103620807).

232133157 is a wasteful number, since it uses less digits than its factorization.

232133157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34660 (or 34657 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 232133157 is about 15235.9166773778. The cubic root of 232133157 is about 614.5809002660.

Adding to 232133157 its reverse (751331232), we get a palindrome (983464389).

The spelling of 232133157 in words is "two hundred thirty-two million, one hundred thirty-three thousand, one hundred fifty-seven".

Divisors: 1 3 9 761 2283 6849 33893 101679 305037 25792573 77377719 232133157