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22102202201220 = 223251031311906333
BaseRepresentation
bin1010000011010000100011…
…11010010011010010000100
32220020221122110210010000200
411001220101322103102010
510344110302230414340
6115001340031010500
74440555113633121
oct501502172232204
986227573703020
1022102202201220
117051544a37329
12258b67a969a30
13c442c867a08b
14565a7641d748
15284de05a2330
hex141a11e93484

22102202201220 has 72 divisors (see below), whose sum is σ = 67049853166296. Its totient is φ = 5893348588032.

The previous prime is 22102202201171. The next prime is 22102202201251. The reversal of 22102202201220 is 2210220220122.

22102202201220 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 220 + 220 + 1 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5865541484544 + 16236660716676 = 2421888^2 + 4029474^2 .

It is a super-2 number, since 2×221022022012202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22102202201193 and 22102202201202.

It is an unprimeable number.

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, 4096827 + ... + 7809506.

It is an arithmetic number, because the mean of its divisors is an integer number (931247960643).

Almost surely, 222102202201220 is an apocalyptic number.

22102202201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22102202201220 is an abundant number, since it is smaller than the sum of its proper divisors (44947650965076).

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

22102202201220 is a wasteful number, since it uses less digits than its factorization.

22102202201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11916661 (or 11916656 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22102202201220 its reverse (2210220220122), we get a palindrome (24312422421342).

The spelling of 22102202201220 in words is "twenty-two trillion, one hundred two billion, two hundred two million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 10313 20626 30939 41252 51565 61878 92817 103130 123756 154695 185634 206260 309390 371268 464085 618780 928170 1856340 11906333 23812666 35718999 47625332 59531665 71437998 107156997 119063330 142875996 178594995 214313994 238126660 357189990 428627988 535784985 714379980 1071569970 2143139940 122790012229 245580024458 368370036687 491160048916 613950061145 736740073374 1105110110061 1227900122290 1473480146748 1841850183435 2210220220122 2455800244580 3683700366870 4420440440244 5525550550305 7367400733740 11051101100610 22102202201220