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230525568 = 2733713733
BaseRepresentation
bin11011011110110…
…00101010000000
3121001202220122000
431233120222000
5433003304233
634512544000
75466302130
oct1557305200
9531686560
10230525568
111091422a9
1265252000
13389b4580
142288aac0
1515388d13
hexdbd8a80

230525568 has 256 divisors, whose sum is σ = 838521600. Its totient is φ = 60715008.

The previous prime is 230525551. The next prime is 230525597. The reversal of 230525568 is 865525032.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314130 + ... + 314862.

It is an arithmetic number, because the mean of its divisors is an integer number (3275475).

Almost surely, 2230525568 is an apocalyptic number.

230525568 is a gapful number since it is divisible by the number (28) 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 230525568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419260800).

230525568 is an abundant number, since it is smaller than the sum of its proper divisors (607996032).

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

230525568 is a wasteful number, since it uses less digits than its factorization.

230525568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 230525568 is about 15183.0684645759. The cubic root of 230525568 is about 613.1588959929.

The spelling of 230525568 in words is "two hundred thirty million, five hundred twenty-five thousand, five hundred sixty-eight".