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232220052055200 = 2535211232811361011
BaseRepresentation
bin110100110011001111110001…
…101101100110010010100000
31010110020000112200221022002010
4310303033301231212102200
5220414143131311231300
62141520230312552520
766625226241100326
oct6463176155462240
91113200480838063
10232220052055200
1167aa0a7546a230
12220659756b2740
139c76345683c81
14414b720ad7d16
151bca89a8b9a50
hexd333f1b664a0

232220052055200 has 576 divisors, whose sum is σ = 863506846024704. Its totient is φ = 53656458240000.

The previous prime is 232220052055163. The next prime is 232220052055213. The reversal of 232220052055200 is 2550250022232.

232220052055200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 169942695 + ... + 171303705.

It is an arithmetic number, because the mean of its divisors is an integer number (1499143829904).

Almost surely, 2232220052055200 is an apocalyptic number.

232220052055200 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 232220052055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431753423012352).

232220052055200 is an abundant number, since it is smaller than the sum of its proper divisors (631286793969504).

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

232220052055200 is a wasteful number, since it uses less digits than its factorization.

232220052055200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361349 (or 1361336 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The spelling of 232220052055200 in words is "two hundred thirty-two trillion, two hundred twenty billion, fifty-two million, fifty-five thousand, two hundred".