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22312998864 = 24321324474871
BaseRepresentation
bin10100110001111101…
…010101011111010000
32010121000211210012100
4110301331111133100
5331144111430424
614130033000400
71416636234552
oct246175253720
963530753170
1022312998864
119510119332
1243a86b3100
132147951610
1411195794d2
158a8d58dc9
hex531f557d0

22312998864 has 120 divisors (see below), whose sum is σ = 67290193152. Its totient is φ = 6861323520.

The previous prime is 22312998857. The next prime is 22312998889. The reversal of 22312998864 is 46889921322.

It is a super-3 number, since 3×223129988643 (a number of 32 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 22312998864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4578349 + ... + 4583219.

Almost surely, 222312998864 is an apocalyptic number.

22312998864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22312998864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33645096576).

22312998864 is an abundant number, since it is smaller than the sum of its proper divisors (44977194288).

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

22312998864 is a wasteful number, since it uses less digits than its factorization.

22312998864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7345 (or 7336 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 22312998864 in words is "twenty-two billion, three hundred twelve million, nine hundred ninety-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 2447 4871 4894 7341 9742 9788 14613 14682 19484 19576 22023 29226 29364 31811 38968 39152 43839 44046 58452 58728 63323 63622 77936 87678 88092 95433 116904 117456 126646 127244 175356 176184 189969 190866 233808 253292 254488 286299 350712 352368 379938 381732 506584 508976 569907 572598 701424 759876 763464 1013168 1139814 1145196 1519752 1526928 2279628 2290392 3039504 4559256 4580784 9118512 11919337 23838674 35758011 47677348 71516022 95354696 107274033 143032044 154951381 190709392 214548066 286064088 309902762 429096132 464854143 572128176 619805524 858192264 929708286 1239611048 1394562429 1716384528 1859416572 2479222096 2789124858 3718833144 5578249716 7437666288 11156499432 22312998864