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22461841864 = 23721131168037
BaseRepresentation
bin10100111010110101…
…001000000111001000
32010222101220210102001
4110322311020013020
5332000212414424
614152511120344
71423424335300
oct247265100710
963871823361
1022461841864
119587140280
12442a5130b4
13216c7369b7
141131242600
158b6e5a844
hex53ad481c8

22461841864 has 96 divisors (see below), whose sum is σ = 55170236160. Its totient is φ = 8469014400.

The previous prime is 22461841847. The next prime is 22461841867. The reversal of 22461841864 is 46814816422.

It is not an unprimeable number, because it can be changed into a prime (22461841867) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49654 + ... + 217690.

It is an arithmetic number, because the mean of its divisors is an integer number (574689960).

Almost surely, 222461841864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22461841864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27585118080).

22461841864 is an abundant number, since it is smaller than the sum of its proper divisors (32708394296).

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

22461841864 is a wasteful number, since it uses less digits than its factorization.

22461841864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168099 (or 168088 counting only the distinct ones).

The product of its digits is 589824, while the sum is 46.

The spelling of 22461841864 in words is "twenty-two billion, four hundred sixty-one million, eight hundred forty-one thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 49 56 62 77 88 98 124 154 196 217 248 308 341 392 434 539 616 682 868 1078 1364 1519 1736 2156 2387 2728 3038 4312 4774 6076 9548 12152 16709 19096 33418 66836 133672 168037 336074 672148 1176259 1344296 1848407 2352518 3696814 4705036 5209147 7393628 8233813 9410072 10418294 12938849 14787256 16467626 20836588 25877698 32935252 36464029 41673176 51755396 57300617 65870504 72928058 90571943 103510792 114601234 145856116 181143886 229202468 255248203 291712232 362287772 401104319 458404936 510496406 724575544 802208638 1020992812 1604417276 2041985624 2807730233 3208834552 5615460466 11230920932 22461841864