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232253568 = 273619131
BaseRepresentation
bin11011101011111…
…10100010000000
3121012000201000000
431311332202000
5433424103233
635014000000
75520060051
oct1565764200
9535021000
10232253568
1110a1125a8
1265946000
133916ac61
1422bba728
15155cad13
hexdd7e880

232253568 has 224 divisors, whose sum is σ = 735807600. Its totient is φ = 72783360.

The previous prime is 232253521. The next prime is 232253573. The reversal of 232253568 is 865352232.

232253568 is a `hidden beast` number, since 23 + 22 + 53 + 568 = 666.

232253568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1772863 + ... + 1772993.

Almost surely, 2232253568 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 232253568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367903800).

232253568 is an abundant number, since it is smaller than the sum of its proper divisors (503554032).

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

232253568 is an equidigital number, since it uses as much as digits as its factorization.

232253568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 155 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 232253568 is about 15239.8677159613. The cubic root of 232253568 is about 614.6871460519.

The spelling of 232253568 in words is "two hundred thirty-two million, two hundred fifty-three thousand, five hundred sixty-eight".