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225057347557146 = 2321323371130180419
BaseRepresentation
bin110011001011000000111111…
…010000010101011100011010
31002111212021100111202102211100
4303023000333100111130122
5213444314421433312041
62114353530153212230
765255566606314666
oct6313007720253432
91074767314672740
10225057347557146
116578a315510375
12212a9756401076
139876a806bbb30
143d80b95b078a6
151b043d10aa6b6
hexccb03f41571a

225057347557146 has 96 divisors (see below), whose sum is σ = 562775600499840. Its totient is φ = 64447408156032.

The previous prime is 225057347557139. The next prime is 225057347557157. The reversal of 225057347557146 is 641755743750522.

225057347557146 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 5 + 7 + 34 + 7 + 557 + 1 + 46 = 666.

It is a super-2 number, since 2×2250573475571462 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 564891076 + ... + 565289343.

It is an arithmetic number, because the mean of its divisors is an integer number (5862245838540).

Almost surely, 2225057347557146 is an apocalyptic number.

225057347557146 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

225057347557146 is an abundant number, since it is smaller than the sum of its proper divisors (337718252942694).

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

225057347557146 is a wasteful number, since it uses less digits than its factorization.

225057347557146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130180500 (or 1130180497 counting only the distinct ones).

The product of its (nonzero) digits is 246960000, while the sum is 63.

The spelling of 225057347557146 in words is "two hundred twenty-five trillion, fifty-seven billion, three hundred forty-seven million, five hundred fifty-seven thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 13 18 23 26 37 39 46 69 74 78 111 117 138 207 222 234 299 333 414 481 598 666 851 897 962 1443 1702 1794 2553 2691 2886 4329 5106 5382 7659 8658 11063 15318 22126 33189 66378 99567 199134 1130180419 2260360838 3390541257 6781082514 10171623771 14692345447 20343247542 25994149637 29384690894 41816675503 44077036341 51988299274 77982448911 83633351006 88154072682 125450026509 132231109023 155964897822 233947346733 250900053018 264462218046 337923945281 376350079527 467894693466 543616781539 675847890562 752700159054 961783536569 1013771835843 1087233563078 1630850344617 1923567073138 2027543671686 2885350609707 3041315507529 3261700689234 4892551033851 5770701219414 6082631015058 8656051829121 9785102067702 12503185975397 17312103658242 25006371950794 37509557926191 75019115852382 112528673778573 225057347557146