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12288231 = 321971861
BaseRepresentation
bin101110111000…
…000011100111
3212010022021200
4232320003213
511121210411
61115213543
7206306514
oct56700347
925108250
1012288231
116a3336a
1241472b3
132713257
1418bc30b
15112ae56
hexbb80e7

12288231 has 12 divisors (see below), whose sum is σ = 18684120. Its totient is φ = 7760880.

The previous prime is 12288173. The next prime is 12288259. The reversal of 12288231 is 13288221.

It is not a de Polignac number, because 12288231 - 213 = 12280039 is a prime.

It is a super-2 number, since 2×122882312 = 302001242218722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12288195 and 12288204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12288281) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 35760 + ... + 36101.

It is an arithmetic number, because the mean of its divisors is an integer number (1557010).

Almost surely, 212288231 is an apocalyptic number.

12288231 is a deficient number, since it is larger than the sum of its proper divisors (6395889).

12288231 is a wasteful number, since it uses less digits than its factorization.

12288231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71886 (or 71883 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 12288231 is about 3505.4573168133. The cubic root of 12288231 is about 230.7613772456.

The spelling of 12288231 in words is "twelve million, two hundred eighty-eight thousand, two hundred thirty-one".

Divisors: 1 3 9 19 57 171 71861 215583 646749 1365359 4096077 12288231