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22552888040 = 23541113121697
BaseRepresentation
bin10101000000010000…
…011100001011101000
32011012202020102021122
4111000100130023220
5332142014404130
614205522354412
71425611246114
oct250020341350
964182212248
1022552888040
119623576651
124454abba08
132185563b87
14113d382744
158bee422e5
hex54041c2e8

22552888040 has 64 divisors (see below), whose sum is σ = 52442102160. Its totient is φ = 8723169280.

The previous prime is 22552887991. The next prime is 22552888217. The reversal of 22552888040 is 4088825522.

It can be written as a sum of positive squares in 8 ways, for example, as 572453476 + 21980434564 = 23926^2 + 148258^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22552887982 and 22552888000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124472 + ... + 246168.

Almost surely, 222552888040 is an apocalyptic number.

22552888040 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 22552888040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26221051080).

22552888040 is an abundant number, since it is smaller than the sum of its proper divisors (29889214120).

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

22552888040 is a wasteful number, since it uses less digits than its factorization.

22552888040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121862 (or 121858 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 44.

The spelling of 22552888040 in words is "twenty-two billion, five hundred fifty-two million, eight hundred eighty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 113 164 205 226 328 410 452 565 820 904 1130 1640 2260 4520 4633 9266 18532 23165 37064 46330 92660 121697 185320 243394 486788 608485 973576 1216970 2433940 4867880 4989577 9979154 13751761 19958308 24947885 27503522 39916616 49895770 55007044 68758805 99791540 110014088 137517610 199583080 275035220 550070440 563822201 1127644402 2255288804 2819111005 4510577608 5638222010 11276444020 22552888040