Search a number
-
+
231329331 = 3323372511
BaseRepresentation
bin11011100100111…
…00111000110011
3121010021202012000
431302130320303
5433210014311
634542105043
75506160352
oct1562347063
9533252160
10231329331
11109641172
126557b183
1338c0637c
1422a19999
1515497056
hexdc9ce33

231329331 has 16 divisors (see below), whose sum is σ = 357611520. Its totient is φ = 147513960.

The previous prime is 231329311. The next prime is 231329333. The reversal of 231329331 is 133923132.

231329331 is a `hidden beast` number, since 2 + 3 + 1 + 329 + 331 = 666.

It is a de Polignac number, because none of the positive numbers 2k-231329331 is a prime.

It is a super-2 number, since 2×2313293312 = 107026518761815122, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 231329295 and 231329304.

It is not an unprimeable number, because it can be changed into a prime (231329333) 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, 185635 + ... + 186876.

It is an arithmetic number, because the mean of its divisors is an integer number (22350720).

Almost surely, 2231329331 is an apocalyptic number.

231329331 is a deficient number, since it is larger than the sum of its proper divisors (126282189).

231329331 is a wasteful number, since it uses less digits than its factorization.

231329331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372543 (or 372537 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 231329331 is about 15209.5144892925. The cubic root of 231329331 is about 613.8706937684.

The spelling of 231329331 in words is "two hundred thirty-one million, three hundred twenty-nine thousand, three hundred thirty-one".

Divisors: 1 3 9 23 27 69 207 621 372511 1117533 3352599 8567753 10057797 25703259 77109777 231329331