Search a number
-
+
231635968 = 210317297
BaseRepresentation
bin11011100111001…
…11110000000000
3121010212022210221
431303213300000
5433244322333
634552432424
75511605344
oct1563476000
9533768727
10231635968
11109830593
12656a8714
1338cb2b05
1422a99624
1515507d2d
hexdce7c00

231635968 has 44 divisors (see below), whose sum is σ = 478048192. Its totient is φ = 112066560.

The previous prime is 231635909. The next prime is 231635977. The reversal of 231635968 is 869536132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28096 + ... + 35392.

Almost surely, 2231635968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231635968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239024096).

231635968 is an abundant number, since it is smaller than the sum of its proper divisors (246412224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231635968 is an equidigital number, since it uses as much as digits as its factorization.

231635968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7348 (or 7330 counting only the distinct ones).

The product of its digits is 233280, while the sum is 43.

The square root of 231635968 is about 15219.5915845334. The cubic root of 231635968 is about 614.1418113664.

The spelling of 231635968 in words is "two hundred thirty-one million, six hundred thirty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1024 1984 3968 7297 7936 14594 15872 29188 31744 58376 116752 226207 233504 452414 467008 904828 934016 1809656 1868032 3619312 3736064 7238624 7472128 14477248 28954496 57908992 115817984 231635968