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225908943138 = 23410723492
BaseRepresentation
bin1101001001100100111…
…0001110100100100010
3210121002222112100220000
43102121032032210202
512200130142140023
6251440420400430
722215143222244
oct3223116164442
9717088470800
10225908943138
11878977886aa
1237948546116
13183c2c60868
14ad11072094
155d22d3d243
hex349938e922

225908943138 has 90 divisors (see below), whose sum is σ = 512446775841. Its totient is φ = 74385463536.

The previous prime is 225908943101. The next prime is 225908943193. The reversal of 225908943138 is 831349809522.

225908943138 is a `hidden beast` number, since 2 + 2 + 590 + 8 + 9 + 43 + 1 + 3 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 212776470729 + 13132472409 = 461277^2 + 114597^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336087.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 44 ways as a sum of consecutive naturals, for example, 647303388 + ... + 647303736.

Almost surely, 2225908943138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225908943138

225908943138 is an abundant number, since it is smaller than the sum of its proper divisors (286537832703).

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

225908943138 is an frugal number, since it uses more digits than its factorization.

225908943138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 225908943138 in words is "two hundred twenty-five billion, nine hundred eight million, nine hundred forty-three thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 107 162 214 321 349 642 698 963 1047 1926 2094 2889 3141 5778 6282 8667 9423 11449 17334 18846 22898 28269 34347 37343 56538 68694 74686 103041 112029 121801 206082 224058 243602 309123 336087 365403 618246 672174 730806 927369 1008261 1096209 1854738 2016522 2192418 3024783 3288627 3995701 6049566 6577254 7991402 9865881 11987103 13032707 19731762 23974206 26065414 35961309 39098121 71922618 78196242 107883927 117294363 215767854 234588726 323651781 351883089 647303562 703766178 1055649267 1394499649 2111298534 2788999298 4183498947 8366997894 12550496841 25100993682 37651490523 75302981046 112954471569 225908943138