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232485120 = 283357312
BaseRepresentation
bin11011101101101…
…11000100000000
3121012110110122000
431312313010000
5434004010440
635022544000
75522043120
oct1566670400
9535413560
10232485120
1110a26056a
1265a38000
133921c47a
1422c3ac80
1515624730
hexddb7100

232485120 has 432 divisors, whose sum is σ = 974252160. Its totient is φ = 51425280.

The previous prime is 232485073. The next prime is 232485137. The reversal of 232485120 is 21584232.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a nialpdrome in base 16.

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 47 ways as a sum of consecutive naturals, for example, 7499505 + ... + 7499535.

Almost surely, 2232485120 is an apocalyptic number.

232485120 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 232485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487126080).

232485120 is an abundant number, since it is smaller than the sum of its proper divisors (741767040).

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

232485120 is an equidigital number, since it uses as much as digits as its factorization.

232485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 232485120 is about 15247.4627397479. The cubic root of 232485120 is about 614.8913549901.

The spelling of 232485120 in words is "two hundred thirty-two million, four hundred eighty-five thousand, one hundred twenty".