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230681088 = 2933113741
BaseRepresentation
bin11011011111111…
…10101000000000
3121002001210222000
431233332220000
5433023243323
634520144000
75500520421
oct1557765000
9532053860
10230681088
11109239130
1265308000
1338a3a2b1
14228cb648
15153b9e43
hexdbfea00

230681088 has 320 divisors, whose sum is σ = 783699840. Its totient is φ = 66355200.

The previous prime is 230681083. The next prime is 230681093. The reversal of 230681088 is 880186032.

It is an interprime number because it is at equal distance from previous prime (230681083) and next prime (230681093).

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

It is not an unprimeable number, because it can be changed into a prime (230681081) 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, 5626348 + ... + 5626388.

It is an arithmetic number, because the mean of its divisors is an integer number (2449062).

Almost surely, 2230681088 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 230681088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391849920).

230681088 is an abundant number, since it is smaller than the sum of its proper divisors (553018752).

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

230681088 is a wasteful number, since it uses less digits than its factorization.

230681088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 230681088 is about 15188.1890954781. The cubic root of 230681088 is about 613.2967506011.

The spelling of 230681088 in words is "two hundred thirty million, six hundred eighty-one thousand, eighty-eight".