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231813120 = 212357311
BaseRepresentation
bin11011101000100…
…11000000000000
3121011012022211010
431310103000000
5433321004440
635000320520
75513244000
oct1564230000
9534168733
10231813120
111099416a0
1265773140
1339045636
1422b04000
1515540580
hexdd13000

231813120 has 416 divisors, whose sum is σ = 943603200. Its totient is φ = 48168960.

The previous prime is 231813089. The next prime is 231813137. The reversal of 231813120 is 21318132.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21073915 + ... + 21073925.

Almost surely, 2231813120 is an apocalyptic number.

231813120 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 231813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471801600).

231813120 is an abundant number, since it is smaller than the sum of its proper divisors (711790080).

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

231813120 is an equidigital number, since it uses as much as digits as its factorization.

231813120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 231813120 is about 15225.4103392979. The cubic root of 231813120 is about 614.2983338725.

The spelling of 231813120 in words is "two hundred thirty-one million, eight hundred thirteen thousand, one hundred twenty".