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231204464 = 24192343769
BaseRepresentation
bin11011100011111…
…10011001110000
3121010001101220022
431301332121300
5433142020324
634535303012
75505130331
oct1561763160
9533041808
10231204464
11109566377
126551aa68
1338b9159a
14229c6288
151547005e
hexdc7e670

231204464 has 80 divisors (see below), whose sum is σ = 504134400. Its totient is φ = 102187008.

The previous prime is 231204451. The next prime is 231204469. The reversal of 231204464 is 464402132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231204469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300272 + ... + 301040.

It is an arithmetic number, because the mean of its divisors is an integer number (6301680).

Almost surely, 2231204464 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 231204464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252067200).

231204464 is an abundant number, since it is smaller than the sum of its proper divisors (272929936).

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

231204464 is a wasteful number, since it uses less digits than its factorization.

231204464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 231204464 is about 15205.4090375761. The cubic root of 231204464 is about 613.7602221340.

Adding to 231204464 its reverse (464402132), we get a palindrome (695606596).

The spelling of 231204464 in words is "two hundred thirty-one million, two hundred four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 19 23 38 43 46 76 86 92 152 172 184 304 344 368 437 688 769 817 874 989 1538 1634 1748 1978 3076 3268 3496 3956 6152 6536 6992 7912 12304 13072 14611 15824 17687 18791 29222 33067 35374 37582 58444 66134 70748 75164 116888 132268 141496 150328 233776 264536 282992 300656 336053 529072 628273 672106 760541 1256546 1344212 1521082 2513092 2688424 3042164 5026184 5376848 6084328 10052368 12168656 14450279 28900558 57801116 115602232 231204464