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32272225568 = 2511228872
BaseRepresentation
bin11110000011100100…
…110001010100100000
310002022002212220212122
4132003210301110200
51012043142204233
622454201443412
72221510251122
oct360344612440
9102262786778
1032272225568
1112760914800
126307aa0568
13307406427b
1417c2127212
15c8d360d98
hex783931520

32272225568 has 54 divisors (see below), whose sum is σ = 69861228003. Its totient is φ = 14664112320.

The previous prime is 32272225549. The next prime is 32272225633. The reversal of 32272225568 is 86552227223.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 16136112784 + 16136112784 = 127028^2 + 127028^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=127028.

It is a super-2 number, since 2×322722255682 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11177021 + ... + 11179907.

Almost surely, 232272225568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32272225568

32272225568 is an abundant number, since it is smaller than the sum of its proper divisors (37589002435).

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

32272225568 is an frugal number, since it uses more digits than its factorization.

32272225568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5806 (or 2900 counting only the distinct ones).

The product of its digits is 806400, while the sum is 44.

The spelling of 32272225568 in words is "thirty-two billion, two hundred seventy-two million, two hundred twenty-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 2887 3872 5774 11548 23096 31757 46192 63514 92384 127028 254056 349327 508112 698654 1016224 1397308 2794616 5589232 8334769 11178464 16669538 33339076 66678152 91682459 133356304 183364918 266712608 366729836 733459672 1008507049 1466919344 2017014098 2933838688 4034028196 8068056392 16136112784 32272225568