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231339264 = 28313172947
BaseRepresentation
bin11011100100111…
…11010100000000
3121010022020210220
431302133110000
5433210324024
634542223040
75506231332
oct1562372400
9533266726
10231339264
11109648682
1265584a80
1338c0aa50
1422a1d452
1515499e79
hexdc9f500

231339264 has 288 divisors, whose sum is σ = 741726720. Its totient is φ = 63307776.

The previous prime is 231339259. The next prime is 231339299. The reversal of 231339264 is 462933132.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4922089 + ... + 4922135.

It is an arithmetic number, because the mean of its divisors is an integer number (2575440).

Almost surely, 2231339264 is an apocalyptic number.

231339264 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 231339264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370863360).

231339264 is an abundant number, since it is smaller than the sum of its proper divisors (510387456).

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

231339264 is a wasteful number, since it uses less digits than its factorization.

231339264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 111 counting only the distinct ones).

The product of its digits is 23328, while the sum is 33.

The square root of 231339264 is about 15209.8410248102. The cubic root of 231339264 is about 613.8794799295.

The spelling of 231339264 in words is "two hundred thirty-one million, three hundred thirty-nine thousand, two hundred sixty-four".