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232640589994920 = 233451928579132233
BaseRepresentation
bin110100111001010111011011…
…101110100001101110101000
31010111201020000201021002220000
4310321113123232201232220
5220443040412014314140
62142441340040303000
7100000504456436532
oct6471273356415650
91114636021232800
10232640589994920
1168143358140728
122211337aa71a60
139ca6bb4c76b63
144163c167b2852
151bd67b038da30
hexd395dbba1ba8

232640589994920 has 320 divisors, whose sum is σ = 823120153416000. Its totient is φ = 58769858644992.

The previous prime is 232640589994913. The next prime is 232640589994931. The reversal of 232640589994920 is 29499985046232.

232640589994920 is a `hidden beast` number, since 2 + 3 + 2 + 6 + 40 + 5 + 8 + 9 + 99 + 492 + 0 = 666.

It is a super-2 number, since 2×2326405899949202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 1759257124 + ... + 1759389356.

It is an arithmetic number, because the mean of its divisors is an integer number (2572250479425).

Almost surely, 2232640589994920 is an apocalyptic number.

232640589994920 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 232640589994920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411560076708000).

232640589994920 is an abundant number, since it is smaller than the sum of its proper divisors (590479563421080).

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

232640589994920 is a wasteful number, since it uses less digits than its factorization.

232640589994920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160854 (or 160841 counting only the distinct ones).

The product of its (nonzero) digits is 604661760, while the sum is 72.

The spelling of 232640589994920 in words is "two hundred thirty-two trillion, six hundred forty billion, five hundred eighty-nine million, nine hundred ninety-four thousand, nine hundred twenty".