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231068624160 = 2535112310118839
BaseRepresentation
bin1101011100110011000…
…0110110010100100000
3211002102120101022122010
43113030300312110200
512241212031433120
6254052414312520
722460044620123
oct3271460662440
9732376338563
10231068624160
1189aa523a3a0
12389484b8740
1318a35bca95a
14b28041c3ba
156025cd77e0
hex35ccc36520

231068624160 has 384 divisors, whose sum is σ = 836807086080. Its totient is φ = 53047808000.

The previous prime is 231068624131. The next prime is 231068624161. The reversal of 231068624160 is 61426860132.

231068624160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (231068624161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12256021 + ... + 12274859.

It is an arithmetic number, because the mean of its divisors is an integer number (2179185120).

Almost surely, 2231068624160 is an apocalyptic number.

231068624160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231068624160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418403543040).

231068624160 is an abundant number, since it is smaller than the sum of its proper divisors (605738461920).

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

231068624160 is a wasteful number, since it uses less digits than its factorization.

231068624160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18992 (or 18984 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

It can be divided in two parts, 2310 and 68624160, that added together give a triangular number (68626470 = T11715).

The spelling of 231068624160 in words is "two hundred thirty-one billion, sixty-eight million, six hundred twenty-four thousand, one hundred sixty".