Search a number
-
+
230685624 = 23331382153
BaseRepresentation
bin11011011111111…
…11101110111000
3121002002001012000
431233333232320
5433023414444
634520221000
75500536561
oct1557775670
9532061160
10230685624
11109241584
126530a760
1338a3c390
14228cd168
15153bb469
hexdbffbb8

230685624 has 64 divisors (see below), whose sum is σ = 690093600. Its totient is φ = 70979328.

The previous prime is 230685619. The next prime is 230685641. The reversal of 230685624 is 426586032.

230685624 is a `hidden beast` number, since 2 + 30 + 68 + 562 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38269 + ... + 43884.

Almost surely, 2230685624 is an apocalyptic number.

230685624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230685624 is an abundant number, since it is smaller than the sum of its proper divisors (459407976).

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

230685624 is a wasteful number, since it uses less digits than its factorization.

230685624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82181 (or 82171 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 230685624 is about 15188.3384213020. The cubic root of 230685624 is about 613.3007704304.

The spelling of 230685624 in words is "two hundred thirty million, six hundred eighty-five thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 82153 164306 246459 328612 492918 657224 739377 985836 1067989 1478754 1971672 2135978 2218131 2957508 3203967 4271956 4436262 5915016 6407934 8543912 8872524 9611901 12815868 17745048 19223802 25631736 28835703 38447604 57671406 76895208 115342812 230685624