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232314264 = 233371353223
BaseRepresentation
bin11011101100011…
…01010110011000
3121012010210021000
431312031112120
5433433024024
635015145000
75520432030
oct1566152630
9535123230
10232314264
1110a154166
1265975160
133918c780
1422bd48c0
15155ddcc9
hexdd8d598

232314264 has 256 divisors, whose sum is σ = 812851200. Its totient is φ = 59844096.

The previous prime is 232314263. The next prime is 232314289. The reversal of 232314264 is 462413232.

232314264 is a `hidden beast` number, since 2 + 3 + 231 + 426 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232314263) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1041657 + ... + 1041879.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 2232314264 is an apocalyptic number.

232314264 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 232314264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406425600).

232314264 is an abundant number, since it is smaller than the sum of its proper divisors (580536936).

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

232314264 is a wasteful number, since it uses less digits than its factorization.

232314264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 301 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 232314264 is about 15241.8589417433. The cubic root of 232314264 is about 614.7406878220.

Adding to 232314264 its reverse (462413232), we get a palindrome (694727496).

It can be divided in two parts, 23231 and 4264, that added together give a triangular number (27495 = T234).

The spelling of 232314264 in words is "two hundred thirty-two million, three hundred fourteen thousand, two hundred sixty-four".