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230696928 = 2532711101103
BaseRepresentation
bin11011100000000…
…10011111100000
3121002002121200200
431300002133200
5433024300203
634520345200
75500614540
oct1560023740
9532077620
10230696928
1110924a020
1265315200
1338a44577
14228d3320
15153be9a3
hexdc027e0

230696928 has 288 divisors, whose sum is σ = 834043392. Its totient is φ = 58752000.

The previous prime is 230696927. The next prime is 230696929. The reversal of 230696928 is 829696032.

It is an interprime number because it is at equal distance from previous prime (230696927) and next prime (230696929).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230696927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2239725 + ... + 2239827.

It is an arithmetic number, because the mean of its divisors is an integer number (2895984).

Almost surely, 2230696928 is an apocalyptic number.

230696928 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 230696928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417021696).

230696928 is an abundant number, since it is smaller than the sum of its proper divisors (603346464).

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

230696928 is a wasteful number, since it uses less digits than its factorization.

230696928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 230696928 is about 15188.7105443484. The cubic root of 230696928 is about 613.3107878711.

The spelling of 230696928 in words is "two hundred thirty million, six hundred ninety-six thousand, nine hundred twenty-eight".