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231139968 = 2733119417
BaseRepresentation
bin11011100011011…
…10101010000000
3121002221010102120
431301232222000
5433132434333
634534044240
75504441313
oct1561565200
9532833376
10231139968
11109521974
12654a9680
1338b6b117
14229aa97a
151545adb3
hexdc6ea80

231139968 has 64 divisors (see below), whose sum is σ = 633803520. Its totient is φ = 74557440.

The previous prime is 231139957. The next prime is 231140023. The reversal of 231139968 is 869931132.

231139968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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, 2196 + ... + 21612.

It is an arithmetic number, because the mean of its divisors is an integer number (9903180).

Almost surely, 2231139968 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 231139968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316901760).

231139968 is an abundant number, since it is smaller than the sum of its proper divisors (402663552).

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

231139968 is a wasteful number, since it uses less digits than its factorization.

231139968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19465 (or 19453 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 231139968 is about 15203.2880654153. The cubic root of 231139968 is about 613.7031460147.

The spelling of 231139968 in words is "two hundred thirty-one million, one hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 5952 11904 19417 38834 58251 77668 116502 155336 233004 310672 466008 601927 621344 932016 1203854 1242688 1805781 1864032 2407708 2485376 3611562 3728064 4815416 7223124 7456128 9630832 14446248 19261664 28892496 38523328 57784992 77046656 115569984 231139968