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232523031 = 31323536773
BaseRepresentation
bin11011101110000…
…00010100010111
3121012112101122010
431313000110113
5434011214111
635023435303
75522261466
oct1567002427
9535471563
10232523031
1110a286aa4
1265a55b33
13392337c0
1422c4a9dd
1515630aa6
hexddc0517

232523031 has 64 divisors (see below), whose sum is σ = 365202432. Its totient is φ = 130470912.

The previous prime is 232523023. The next prime is 232523047. The reversal of 232523031 is 130325232.

232523031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 232523031 - 23 = 232523023 is a prime.

It is a super-2 number, since 2×2325230312 = 108133919890853922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232522989 and 232523007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232523021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3185211 + ... + 3185283.

It is an arithmetic number, because the mean of its divisors is an integer number (5706288).

Almost surely, 2232523031 is an apocalyptic number.

232523031 is a deficient number, since it is larger than the sum of its proper divisors (132679401).

232523031 is a wasteful number, since it uses less digits than its factorization.

232523031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232.

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

The square root of 232523031 is about 15248.7058795165. The cubic root of 232523031 is about 614.9247763107.

Adding to 232523031 its reverse (130325232), we get a palindrome (362848263).

The spelling of 232523031 in words is "two hundred thirty-two million, five hundred twenty-three thousand, thirty-one".

Divisors: 1 3 13 23 39 53 67 69 73 159 201 219 299 689 871 897 949 1219 1541 1679 2067 2613 2847 3551 3657 3869 4623 4891 5037 10653 11607 14673 15847 20033 21827 46163 47541 50297 60099 63583 65481 81673 88987 112493 138489 150891 190749 245019 259223 266961 337479 777669 1061749 1156831 1462409 3185247 3369899 3470493 4387227 5962129 10109697 17886387 77507677 232523031