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231305664 = 2632352379
BaseRepresentation
bin11011100100101…
…11000111000000
3121010020112201110
431302113013000
5433203240124
634541403320
75506031352
oct1562270700
9533215643
10231305664
11109625407
1265569540
1338bc8675
1422a110d2
1515490029
hexdc971c0

231305664 has 56 divisors (see below), whose sum is σ = 638616960. Its totient is φ = 73748224.

The previous prime is 231305629. The next prime is 231305693. The reversal of 231305664 is 466503132.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 21774 + ... + 30605.

Almost surely, 2231305664 is an apocalyptic number.

231305664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

231305664 is an abundant number, since it is smaller than the sum of its proper divisors (407311296).

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

231305664 is a wasteful number, since it uses less digits than its factorization.

231305664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52417 (or 52407 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 231305664 is about 15208.7364366669. The cubic root of 231305664 is about 613.8497582863.

Adding to 231305664 its reverse (466503132), we get a palindrome (697808796).

The spelling of 231305664 in words is "two hundred thirty-one million, three hundred five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 4416 52379 104758 157137 209516 314274 419032 628548 838064 1204717 1257096 1676128 2409434 2514192 3352256 3614151 4818868 5028384 7228302 9637736 10056768 14456604 19275472 28913208 38550944 57826416 77101888 115652832 231305664