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232516368 = 243272311063
BaseRepresentation
bin11011101101111…
…10101100010000
3121012112001111100
431312332230100
5434011010433
635023344400
75522233200
oct1566765420
9535461440
10232516368
1110a281a97
1265a52100
1339230766
1422c48400
151562db13
hexddbeb10

232516368 has 180 divisors, whose sum is σ = 782116608. Its totient is φ = 64229760.

The previous prime is 232516367. The next prime is 232516391. The reversal of 232516368 is 863615232.

It is a happy number.

It is a super-2 number, since 2×2325163682 = 108127722775822848, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232516363) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 218205 + ... + 219267.

Almost surely, 2232516368 is an apocalyptic number.

232516368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232516368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391058304).

232516368 is an abundant number, since it is smaller than the sum of its proper divisors (549600240).

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

232516368 is a wasteful number, since it uses less digits than its factorization.

232516368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1106 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 232516368 is about 15248.4874003948. The cubic root of 232516368 is about 614.9189026518.

The spelling of 232516368 in words is "two hundred thirty-two million, five hundred sixteen thousand, three hundred sixty-eight".