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22442586640 = 2451025327361
BaseRepresentation
bin10100111001101011…
…101011001000010000
32010221001200112012121
4110321223223020100
5331430300233030
614150542304024
71423101560515
oct247153531020
963831615177
1022442586640
119577289571
124423b88014
132168754586
14112c86d30c
158b540547a
hex539aeb210

22442586640 has 40 divisors (see below), whose sum is σ = 52186010328. Its totient is φ = 8975831040.

The previous prime is 22442586631. The next prime is 22442586653. The reversal of 22442586640 is 4668524422.

It can be written as a sum of positive squares in 4 ways, for example, as 557526544 + 21885060096 = 23612^2 + 147936^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 806560 + ... + 833920.

Almost surely, 222442586640 is an apocalyptic number.

22442586640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22442586640 is an abundant number, since it is smaller than the sum of its proper divisors (29743423688).

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

22442586640 is a wasteful number, since it uses less digits than its factorization.

22442586640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37627 (or 37621 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 43.

The spelling of 22442586640 in words is "twenty-two billion, four hundred forty-two million, five hundred eighty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 10253 20506 27361 41012 51265 54722 82024 102530 109444 136805 164048 205060 218888 273610 410120 437776 547220 820240 1094440 2188880 280532333 561064666 1122129332 1402661665 2244258664 2805323330 4488517328 5610646660 11221293320 22442586640