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232942080 = 293572619
BaseRepresentation
bin11011110001001…
…10101000000000
3121020022200110110
431320212220000
5434113121310
635040431320
75525655300
oct1570465000
9536280413
10232942080
1110a542918
1266018540
133934c467
1422d19600
15156b4d20
hexde26a00

232942080 has 240 divisors, whose sum is σ = 867667680. Its totient is φ = 53157888.

The previous prime is 232942079. The next prime is 232942093. The reversal of 232942080 is 80249232.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376011 + ... + 376629.

It is an arithmetic number, because the mean of its divisors is an integer number (3615282).

Almost surely, 2232942080 is an apocalyptic number.

232942080 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 232942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433833840).

232942080 is an abundant number, since it is smaller than the sum of its proper divisors (634725600).

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

232942080 is an equidigital number, since it uses as much as digits as its factorization.

232942080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 232942080 is about 15262.4401718729. The cubic root of 232942080 is about 615.2939569013.

The spelling of 232942080 in words is "two hundred thirty-two million, nine hundred forty-two thousand, eighty".