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232160214096 = 243323291634943
BaseRepresentation
bin1101100000110111010…
…0111011110001010000
3211012020122101211112000
43120031310323301100
512300431003322341
6254353011034000
722526101155066
oct3301564736120
9735218354460
10232160214096
118a505430038
1238bb1b9b900
1318b7b0c5665
14b3453ac036
15608ba5b8b6
hex360dd3bc50

232160214096 has 320 divisors, whose sum is σ = 723896524800. Its totient is φ = 71016777216.

The previous prime is 232160214061. The next prime is 232160214113. The reversal of 232160214096 is 690412061232.

It is a happy number.

232160214096 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 602 + 1 + 40 + 9 + 6 = 666.

232160214096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 232160214096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46965001 + ... + 46969943.

It is an arithmetic number, because the mean of its divisors is an integer number (2262176640).

Almost surely, 2232160214096 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 232160214096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361948262400).

232160214096 is an abundant number, since it is smaller than the sum of its proper divisors (491736310704).

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

232160214096 is a wasteful number, since it uses less digits than its factorization.

232160214096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5175 (or 5163 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 232160214096 in words is "two hundred thirty-two billion, one hundred sixty million, two hundred fourteen thousand, ninety-six".