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22205204442 = 23211329693677
BaseRepresentation
bin10100101011100010…
…001000011111011010
32010022112000021001100
4110223202020133122
5330434013020232
614111222332230
71414160060241
oct245342103732
963275007040
1022205204442
119465293833
12437858a076
13212b50c135
141109119958
1589e664c7c
hex52b8887da

22205204442 has 48 divisors (see below), whose sum is σ = 48566592360. Its totient is φ = 7331767296.

The previous prime is 22205204407. The next prime is 22205204443. The reversal of 22205204442 is 24440250222.

It can be written as a sum of positive squares in 4 ways, for example, as 8302672161 + 13902532281 = 91119^2 + 117909^2 .

It is a super-2 number, since 2×222052044422 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22205204443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6037108 + ... + 6040784.

Almost surely, 222205204442 is an apocalyptic number.

22205204442 is an abundant number, since it is smaller than the sum of its proper divisors (26361387918).

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

22205204442 is a wasteful number, since it uses less digits than its factorization.

22205204442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6767 (or 6764 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

Adding to 22205204442 its reverse (24440250222), we get a palindrome (46645454664).

The spelling of 22205204442 in words is "twenty-two billion, two hundred five million, two hundred four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 113 226 339 678 1017 2034 2969 3677 5938 7354 8907 11031 17814 22062 26721 33093 53442 66186 335497 415501 670994 831002 1006491 1246503 2012982 2493006 3019473 3739509 6038946 7479018 10917013 21834026 32751039 65502078 98253117 196506234 1233622469 2467244938 3700867407 7401734814 11102602221 22205204442