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230458956 = 22373135973
BaseRepresentation
bin11011011110010…
…00011001001100
3121001122112020220
431233020121030
5432444141311
634511311340
75465604000
oct1557103114
9531575226
10230458956
111090a7252
126521b550
1338990160
1422870700
1515374206
hexdbc864c

230458956 has 192 divisors, whose sum is σ = 696192000. Its totient is φ = 58931712.

The previous prime is 230458951. The next prime is 230458979. The reversal of 230458956 is 659854032.

230458956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2304589562 = 106222660801219872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (230458951) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3156936 + ... + 3157008.

It is an arithmetic number, because the mean of its divisors is an integer number (3626000).

Almost surely, 2230458956 is an apocalyptic number.

230458956 is a gapful number since it is divisible by the number (26) 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 230458956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348096000).

230458956 is an abundant number, since it is smaller than the sum of its proper divisors (465733044).

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

230458956 is a wasteful number, since it uses less digits than its factorization.

230458956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 230458956 is about 15180.8746783576. The cubic root of 230458956 is about 613.0998314310.

The spelling of 230458956 in words is "two hundred thirty million, four hundred fifty-eight thousand, nine hundred fifty-six".