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232467264 = 26323147277
BaseRepresentation
bin11011101101100…
…10101101000000
3121012102120010200
431312302231000
5434002423024
635022325200
75521640061
oct1566625500
9535376120
10232467264
1110a249107
1265a29800
13392142c3
1422c34568
151561e2c9
hexddb2b40

232467264 has 168 divisors, whose sum is σ = 704990208. Its totient is φ = 73128960.

The previous prime is 232467251. The next prime is 232467269. The reversal of 232467264 is 462764232.

232467264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (232467269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 839094 + ... + 839370.

Almost surely, 2232467264 is an apocalyptic number.

232467264 is a gapful number since it is divisible by the number (24) 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 232467264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352495104).

232467264 is an abundant number, since it is smaller than the sum of its proper divisors (472522944).

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

232467264 is a wasteful number, since it uses less digits than its factorization.

232467264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 360 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 232467264 is about 15246.8771884606. The cubic root of 232467264 is about 614.8756123609.

The spelling of 232467264 in words is "two hundred thirty-two million, four hundred sixty-seven thousand, two hundred sixty-four".