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230031394560 = 28345111011997
BaseRepresentation
bin1101011000111011110…
…0001000011100000000
3210222202021122121010000
43112032330020130000
512232101014111220
6253401443040000
722422251410122
oct3261674103400
9728667577100
10230031394560
11896127a8450
12386b9070000
13188cc056c26
14b1c277d212
155eb4c00390
hex358ef08700

230031394560 has 720 divisors, whose sum is σ = 907265554272. Its totient is φ = 55185408000.

The previous prime is 230031394559. The next prime is 230031394573. The reversal of 230031394560 is 65493130032.

It is a happy number.

230031394560 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 3 + 1 + 3 + 94 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 79 ways as a sum of consecutive naturals, for example, 115187482 + ... + 115189478.

Almost surely, 2230031394560 is an apocalyptic number.

230031394560 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 230031394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453632777136).

230031394560 is an abundant number, since it is smaller than the sum of its proper divisors (677234159712).

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

230031394560 is a wasteful number, since it uses less digits than its factorization.

230031394560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 230031394560 in words is "two hundred thirty billion, thirty-one million, three hundred ninety-four thousand, five hundred sixty".