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230701106688 = 29313431391933
BaseRepresentation
bin1101011011011011011…
…0111000011000000000
3211001110221211111102220
43112312312320120000
512234433440403223
6253552125211040
722444663023453
oct3266666703000
9731427744386
10230701106688
1189926840048
1238865400a80
13189a7a202b0
14b2476b149a
1560038dd6e3
hex35b6db8600

230701106688 has 320 divisors, whose sum is σ = 682497150720. Its totient is φ = 68799725568.

The previous prime is 230701106609. The next prime is 230701106689. The reversal of 230701106688 is 886601107032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230701106689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119347770 + ... + 119349702.

It is an arithmetic number, because the mean of its divisors is an integer number (2132803596).

Almost surely, 2230701106688 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 230701106688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341248575360).

230701106688 is an abundant number, since it is smaller than the sum of its proper divisors (451796044032).

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

230701106688 is a wasteful number, since it uses less digits than its factorization.

230701106688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 230701106688 in words is "two hundred thirty billion, seven hundred one million, one hundred six thousand, six hundred eighty-eight".