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232930080 = 253651997
BaseRepresentation
bin11011110001000…
…11101100100000
3121020022002000000
431320203230200
5434112230310
635040300000
75525605305
oct1570435440
9536262000
10232930080
1110a5348a9
1266011600
1339346b66
1422d150ac
15156b14c0
hexde23b20

232930080 has 168 divisors, whose sum is σ = 825481692. Its totient is φ = 62083584.

The previous prime is 232930051. The next prime is 232930081. The reversal of 232930080 is 80039232.

It can be written as a sum of positive squares in 2 ways, for example, as 200165904 + 32764176 = 14148^2 + 5724^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (232930081) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 115642 + ... + 117638.

Almost surely, 2232930080 is an apocalyptic number.

232930080 is a gapful number since it is divisible by the number (20) 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 232930080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412740846).

232930080 is an abundant number, since it is smaller than the sum of its proper divisors (592551612).

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

232930080 is an equidigital number, since it uses as much as digits as its factorization.

232930080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 232930080 is about 15262.0470448757. The cubic root of 232930080 is about 615.2833911070.

The spelling of 232930080 in words is "two hundred thirty-two million, nine hundred thirty thousand, eighty".