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22932862096 = 241741312
BaseRepresentation
bin10101010110111001…
…111011010010010000
32012012020020002200211
4111112321323102100
5333431303041341
614311334453504
71441204053154
oct252671732220
965166202624
1022932862096
1197a90037a1
124540204294
1322161b32b1
141177a13064
158e349c181
hex556e7b490

22932862096 has 75 divisors (see below), whose sum is σ = 47572541503. Its totient is φ = 10709553920.

The previous prime is 22932862093. The next prime is 22932862111. The reversal of 22932862096 is 69026823922.

The square root of 22932862096 is 151436.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 7117284496 + 15815577600 = 84364^2 + 125760^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22932862093) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 175059951 + ... + 175060081.

Almost surely, 222932862096 is an apocalyptic number.

22932862096 is the 151436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22932862096

22932862096 is an abundant number, since it is smaller than the sum of its proper divisors (24639679407).

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

22932862096 is an frugal number, since it uses more digits than its factorization.

22932862096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

Multiplying 22932862096 by its sum of digits (49), we get a square (1123710242704 = 10600522).

The spelling of 22932862096 in words is "twenty-two billion, nine hundred thirty-two million, eight hundred sixty-two thousand, ninety-six".

Divisors: 1 2 4 8 16 17 34 68 131 136 262 272 289 524 578 1048 1156 2096 2227 2312 4454 4624 4913 8908 9826 17161 17816 19652 34322 35632 37859 39304 68644 75718 78608 83521 137288 151436 167042 274576 291737 302872 334084 583474 605744 643603 668168 1166948 1287206 1336336 2333896 2574412 4667792 4959529 5148824 9919058 10297648 10941251 19838116 21882502 39676232 43765004 79352464 84311993 87530008 168623986 175060016 337247972 674495944 1348991888 1433303881 2866607762 5733215524 11466431048 22932862096