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232355013 = 31131227131
BaseRepresentation
bin11011101100101…
…11010011000101
3121012012212011020
431312113103011
5433440330023
635020101353
75520661602
oct1566272305
9535185136
10232355013
1110a181840
1265994859
13391a5197
1422c056a9
15155eade3
hexdd974c5

232355013 has 16 divisors (see below), whose sum is σ = 348874752. Its totient is φ = 136278000.

The previous prime is 232355003. The next prime is 232355027. The reversal of 232355013 is 310553232.

It is a happy number.

It is not a de Polignac number, because 232355013 - 214 = 232338629 is a prime.

It is a super-3 number, since 3×2323550133 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232355003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112543 + ... + 114588.

It is an arithmetic number, because the mean of its divisors is an integer number (21804672).

Almost surely, 2232355013 is an apocalyptic number.

It is an amenable number.

232355013 is a deficient number, since it is larger than the sum of its proper divisors (116519739).

232355013 is a wasteful number, since it uses less digits than its factorization.

232355013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227176.

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 232355013 is about 15243.1956295260. The cubic root of 232355013 is about 614.7766285105.

The spelling of 232355013 in words is "two hundred thirty-two million, three hundred fifty-five thousand, thirteen".

Divisors: 1 3 11 31 33 93 341 1023 227131 681393 2498441 7041061 7495323 21123183 77451671 232355013