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231304896000 = 293553107139
BaseRepresentation
bin1101011101101011011…
…0001001111000000000
3211010001000222011200000
43113122312021320000
512242203023133000
6254132054400000
722465644114243
oct3273266117000
9733030864600
10231304896000
118a106646982
12389b3660000
1318a72b44889
14b2a396325a
15603b909000
hex35dad89e00

231304896000 has 960 divisors, whose sum is σ = 878321283840. Its totient is φ = 60665241600.

The previous prime is 231304895981. The next prime is 231304896023. The reversal of 231304896000 is 698403132.

231304896000 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 0 + 48 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1664063931 + ... + 1664064069.

It is an arithmetic number, because the mean of its divisors is an integer number (914918004).

Almost surely, 2231304896000 is an apocalyptic number.

231304896000 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 231304896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439160641920).

231304896000 is an abundant number, since it is smaller than the sum of its proper divisors (647016387840).

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

231304896000 is an equidigital number, since it uses as much as digits as its factorization.

231304896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 231304896000 in words is "two hundred thirty-one billion, three hundred four million, eight hundred ninety-six thousand".