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231191680 = 275361237
BaseRepresentation
bin11011100011110…
…11010010000000
3121010000202100211
431301323102000
5433141113210
634535123504
75505045136
oct1561732200
9533022324
10231191680
11109557805
1265513594
1338b88815
14229c1756
151546b38a
hexdc7b480

231191680 has 32 divisors (see below), whose sum is σ = 552694140. Its totient is φ = 92476416.

The previous prime is 231191669. The next prime is 231191761. The reversal of 231191680 is 86191132.

It can be written as a sum of positive squares in 2 ways, for example, as 209438784 + 21752896 = 14472^2 + 4664^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 179979 + ... + 181258.

Almost surely, 2231191680 is an apocalyptic number.

231191680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231191680 is an abundant number, since it is smaller than the sum of its proper divisors (321502460).

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

231191680 is an equidigital number, since it uses as much as digits as its factorization.

231191680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361256 (or 361244 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 231191680 is about 15204.9886550434. The cubic root of 231191680 is about 613.7489097006.

The spelling of 231191680 in words is "two hundred thirty-one million, one hundred ninety-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 361237 722474 1444948 1806185 2889896 3612370 5779792 7224740 11559584 14449480 23119168 28898960 46238336 57797920 115595840 231191680