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231543104 = 2613397701
BaseRepresentation
bin11011100110100…
…01000101000000
3121010200121102112
431303101011000
5433233334404
634550434452
75511040532
oct1563210500
9533617375
10231543104
11109777841
1265662a28
1338c7c770
1422a73852
15154da56e
hexdcd1140

231543104 has 56 divisors (see below), whose sum is σ = 496766088. Its totient is φ = 106444800.

The previous prime is 231543097. The next prime is 231543119. The reversal of 231543104 is 401345132.

It can be written as a sum of positive squares in 4 ways, for example, as 50694400 + 180848704 = 7120^2 + 13448^2 .

It is a super-2 number, since 2×2315431042 = 107224418019909632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 231543104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 329954 + ... + 330654.

It is an arithmetic number, because the mean of its divisors is an integer number (8870823).

Almost surely, 2231543104 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 231543104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248383044).

231543104 is an abundant number, since it is smaller than the sum of its proper divisors (265222984).

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

231543104 is a wasteful number, since it uses less digits than its factorization.

231543104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 231543104 is about 15216.5404741025. The cubic root of 231543104 is about 614.0597295712.

Adding to 231543104 its reverse (401345132), we get a palindrome (632888236).

The spelling of 231543104 in words is "two hundred thirty-one million, five hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 397 416 701 794 832 1402 1588 2804 3176 5161 5608 6352 9113 10322 11216 12704 18226 20644 22432 25408 36452 41288 44864 72904 82576 145808 165152 278297 291616 330304 556594 583232 1113188 2226376 3617861 4452752 7235722 8905504 14471444 17811008 28942888 57885776 115771552 231543104