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232004031 = 37293112289
BaseRepresentation
bin11011101010000…
…01100110111111
3121011120000200220
431311001212333
5433343112111
635004352423
75515000410
oct1565014677
9534500626
10232004031
11109a62076
1265845713
13390b14bc
1422b53807
151557be06
hexdd419bf

232004031 has 32 divisors (see below), whose sum is σ = 377548800. Its totient is φ = 123863040.

The previous prime is 232004027. The next prime is 232004053. The reversal of 232004031 is 130400232.

It is not a de Polignac number, because 232004031 - 22 = 232004027 is a prime.

It is a super-2 number, since 2×2320040312 = 107651740800497922, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 232004031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232000031) 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 31 ways as a sum of consecutive naturals, for example, 12735 + ... + 25023.

It is an arithmetic number, because the mean of its divisors is an integer number (11798400).

Almost surely, 2232004031 is an apocalyptic number.

232004031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

232004031 is a deficient number, since it is larger than the sum of its proper divisors (145544769).

232004031 is a wasteful number, since it uses less digits than its factorization.

232004031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12359.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 232004031 is about 15231.6785352108. The cubic root of 232004031 is about 614.4669238835.

Adding to 232004031 its reverse (130400232), we get a palindrome (362404263).

The spelling of 232004031 in words is "two hundred thirty-two million, four thousand, thirty-one".

Divisors: 1 3 7 21 29 31 87 93 203 217 609 651 899 2697 6293 12289 18879 36867 86023 258069 356381 380959 1069143 1142877 2494667 2666713 7484001 8000139 11047811 33143433 77334677 232004031