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22928729936 = 2472257113797
BaseRepresentation
bin10101010110101010…
…001010011101010000
32012011221110011102212
4111112222022131100
5333424223324221
614311110131252
71441123663100
oct252652123520
965157404385
1022928729936
1197a6741192
12453a950b28
132215397528
141177259200
158e2e32b5b
hex556a8a750

22928729936 has 60 divisors (see below), whose sum is σ = 51878915028. Its totient is φ = 9788276736.

The previous prime is 22928729891. The next prime is 22928729977. The reversal of 22928729936 is 63992782922.

It can be written as a sum of positive squares in 2 ways, for example, as 15525160000 + 7403569936 = 124600^2 + 86044^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144590 + ... + 258386.

Almost surely, 222928729936 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 22928729936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25939457514).

22928729936 is an abundant number, since it is smaller than the sum of its proper divisors (28950185092).

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

22928729936 is a wasteful number, since it uses less digits than its factorization.

22928729936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114076 (or 114063 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 59.

The spelling of 22928729936 in words is "twenty-two billion, nine hundred twenty-eight million, seven hundred twenty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 257 392 514 784 1028 1799 2056 3598 4112 7196 12593 14392 25186 28784 50372 100744 113797 201488 227594 455188 796579 910376 1593158 1820752 3186316 5576053 6372632 11152106 12745264 22304212 29245829 44608424 58491658 89216848 116983316 204720803 233966632 409441606 467933264 818883212 1433045621 1637766424 2866091242 3275532848 5732182484 11464364968 22928729936