Search a number
-
+
232352016 = 24313228643
BaseRepresentation
bin11011101100101…
…10100100010000
3121012012201001020
431312112210100
5433440231031
635020035440
75520650061
oct1566264420
9535181036
10232352016
1110a17a566
1265992b80
13391a3a00
1422c04568
15155ea096
hexdd96910

232352016 has 60 divisors (see below), whose sum is σ = 649989648. Its totient is φ = 71490432.

The previous prime is 232351997. The next prime is 232352017. The reversal of 232352016 is 610253232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (232352017) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6210 + ... + 22433.

Almost surely, 2232352016 is an apocalyptic number.

232352016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

232352016 is an abundant number, since it is smaller than the sum of its proper divisors (417637632).

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

232352016 is a wasteful number, since it uses less digits than its factorization.

232352016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28680 (or 28661 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 232352016 is about 15243.0973230509. The cubic root of 232352016 is about 614.7739852945.

The spelling of 232352016 in words is "two hundred thirty-two million, three hundred fifty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 1014 1352 2028 2704 4056 8112 28643 57286 85929 114572 171858 229144 343716 372359 458288 687432 744718 1117077 1374864 1489436 2234154 2978872 4468308 4840667 5957744 8936616 9681334 14522001 17873232 19362668 29044002 38725336 58088004 77450672 116176008 232352016