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230607936 = 263213223103
BaseRepresentation
bin11011011111011…
…00110001000000
3121001221002121200
431233230301000
5433013423221
634514421200
75500064226
oct1557546100
9531832550
10230607936
11109199179
1265291800
1338a12c00
14228acb16
15153a3426
hexdbecc40

230607936 has 252 divisors, whose sum is σ = 754123968. Its totient is φ = 67212288.

The previous prime is 230607919. The next prime is 230607961. The reversal of 230607936 is 639706032.

230607936 is digitally balanced in base 2 and base 3, because in such bases 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 230607936.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2238861 + ... + 2238963.

Almost surely, 2230607936 is an apocalyptic number.

230607936 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 230607936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377061984).

230607936 is an abundant number, since it is smaller than the sum of its proper divisors (523516032).

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

230607936 is a wasteful number, since it uses less digits than its factorization.

230607936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 230607936 is about 15185.7807175002. The cubic root of 230607936 is about 613.2319155981.

The spelling of 230607936 in words is "two hundred thirty million, six hundred seven thousand, nine hundred thirty-six".