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22226039056 = 24132472612
BaseRepresentation
bin10100101100110001…
…100111000100010000
32010100222012202202201
4110230301213010100
5331004331222211
614113245052544
71414532133454
oct245461470420
963328182681
1022226039056
119476024121
124383557154
132132925400
14110bbc0664
158a13cd0c1
hex52cc67110

22226039056 has 135 divisors (see below), whose sum is σ = 48437384463. Its totient is φ = 9875324160.

The previous prime is 22226039053. The next prime is 22226039063. The reversal of 22226039056 is 65093062222.

It is a happy number.

The square root of 22226039056 is 149084.

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

It can be written as a sum of positive squares in 4 ways, for example, as 15630000400 + 6596038656 = 125020^2 + 81216^2 .

It is a super-2 number, since 2×222260390562 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22226039053) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 364361266 + ... + 364361326.

Almost surely, 222226039056 is an apocalyptic number.

22226039056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

22226039056 is the 149084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22226039056

22226039056 is an abundant number, since it is smaller than the sum of its proper divisors (26211345407).

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

22226039056 is an equidigital number, since it uses as much as digits as its factorization.

22226039056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 22226039056 in words is "twenty-two billion, two hundred twenty-six million, thirty-nine thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 47 52 61 94 104 122 169 188 208 244 338 376 488 611 676 752 793 976 1222 1352 1586 2209 2444 2704 2867 3172 3721 4418 4888 5734 6344 7442 7943 8836 9776 10309 11468 12688 14884 15886 17672 20618 22936 28717 29768 31772 35344 37271 41236 45872 48373 57434 59536 63544 74542 82472 96746 114868 127088 134749 149084 164944 174887 193492 229736 269498 298168 349774 373321 386984 459472 484523 538996 596336 628849 699548 746642 773968 969046 1077992 1257698 1399096 1493284 1751737 1938092 2155984 2273531 2515396 2798192 2986568 3503474 3876184 4547062 5030792 5973136 7006948 7752368 8219689 9094124 10061584 14013896 16439378 18188248 22772581 28027792 29555903 32878756 36376496 45545162 59111806 65757512 91090324 106855957 118223612 131515024 182180648 213711914 236447224 364361296 427423828 472894448 854847656 1389127441 1709695312 2778254882 5556509764 11113019528 22226039056