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231323904 = 283372683
BaseRepresentation
bin11011100100110…
…11100100000000
3121010021110202000
431302123210000
5433204331104
634542024000
75506135500
oct1562334400
9533243660
10231323904
11109638089
1265578000
1338c03a66
1422a17a00
1515495639
hexdc9b900

231323904 has 216 divisors, whose sum is σ = 796914720. Its totient is φ = 65995776.

The previous prime is 231323899. The next prime is 231323909. The reversal of 231323904 is 409323132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (231323899) and next prime (231323909).

It is a tau number, because it is divible by the number of its divisors (216).

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

It is not an unprimeable number, because it can be changed into a prime (231323909) 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, 338347 + ... + 339029.

It is an arithmetic number, because the mean of its divisors is an integer number (3689420).

Almost surely, 2231323904 is an apocalyptic number.

231323904 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 231323904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398457360).

231323904 is an abundant number, since it is smaller than the sum of its proper divisors (565590816).

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

231323904 is an equidigital number, since it uses as much as digits as its factorization.

231323904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 231323904 is about 15209.3360801844. The cubic root of 231323904 is about 613.8658932497.

The spelling of 231323904 in words is "two hundred thirty-one million, three hundred twenty-three thousand, nine hundred four".