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235456968 = 233191373769
BaseRepresentation
bin11100000100011…
…00100111001000
3121102001110020110
432002030213020
5440234110333
635210354320
75556231315
oct1602144710
9542043213
10235456968
11110a0033a
1266a2b9a0
1339a20066
14233b1d0c
1515a10063
hexe08c9c8

235456968 has 64 divisors (see below), whose sum is σ = 624312000. Its totient is φ = 73792512.

The previous prime is 235456951. The next prime is 235456993. The reversal of 235456968 is 869654532.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60588 + ... + 64356.

It is an arithmetic number, because the mean of its divisors is an integer number (9754875).

Almost surely, 2235456968 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 235456968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312156000).

235456968 is an abundant number, since it is smaller than the sum of its proper divisors (388855032).

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

235456968 is a wasteful number, since it uses less digits than its factorization.

235456968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3934 (or 3930 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 48.

The square root of 235456968 is about 15344.6071308457. The cubic root of 235456968 is about 617.5003135055.

The spelling of 235456968 in words is "two hundred thirty-five million, four hundred fifty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 137 152 228 274 411 456 548 822 1096 1644 2603 3288 3769 5206 7538 7809 10412 11307 15076 15618 20824 22614 30152 31236 45228 62472 71611 90456 143222 214833 286444 429666 516353 572888 859332 1032706 1549059 1718664 2065412 3098118 4130824 6196236 9810707 12392472 19621414 29432121 39242828 58864242 78485656 117728484 235456968