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232352031 = 3298213253
BaseRepresentation
bin11011101100101…
…10100100011111
3121012012201001210
431312112210133
5433440231111
635020035503
75520650112
oct1566264437
9535181053
10232352031
1110a17a57a
1265992b93
13391a3a12
1422c04579
15155ea0a6
hexdd9691f

232352031 has 16 divisors (see below), whose sum is σ = 320974560. Its totient is φ = 149331840.

The previous prime is 232352023. The next prime is 232352051. The reversal of 232352031 is 130253232.

It is not a de Polignac number, because 232352031 - 23 = 232352023 is a prime.

It is a super-2 number, since 2×2323520312 = 107974932619649922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232351989 and 232352007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232352051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69801 + ... + 73053.

It is an arithmetic number, because the mean of its divisors is an integer number (20060910).

Almost surely, 2232352031 is an apocalyptic number.

232352031 is a deficient number, since it is larger than the sum of its proper divisors (88622529).

232352031 is a wasteful number, since it uses less digits than its factorization.

232352031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4106.

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 232352031 is about 15243.0978150768. The cubic root of 232352031 is about 614.7739985239.

The spelling of 232352031 in words is "two hundred thirty-two million, three hundred fifty-two thousand, thirty-one".

Divisors: 1 3 29 87 821 2463 3253 9759 23809 71427 94337 283011 2670713 8012139 77450677 232352031