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22561206660 = 22325316076661
BaseRepresentation
bin10101000000110000…
…001011000110000100
32011020022220001021200
4111000300023012010
5332201132103120
614210420542500
71426042043466
oct250060130604
964208801250
1022561206660
119628238543
124457851a30
1321871b7335
14114050a136
158c0a36e90
hex540c0b184

22561206660 has 144 divisors (see below), whose sum is σ = 70770266112. Its totient is φ = 5811782400.

The previous prime is 22561206659. The next prime is 22561206673. The reversal of 22561206660 is 6660216522.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3383730 + ... + 3390390.

Almost surely, 222561206660 is an apocalyptic number.

22561206660 is a gapful number since it is divisible by the number (20) 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 22561206660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35385133056).

22561206660 is an abundant number, since it is smaller than the sum of its proper divisors (48209059452).

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

22561206660 is a wasteful number, since it uses less digits than its factorization.

22561206660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7314 (or 7309 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 22561206660 in words is "twenty-two billion, five hundred sixty-one million, two hundred six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 607 620 930 1116 1214 1395 1821 1860 2428 2790 3035 3642 5463 5580 6070 6661 7284 9105 10926 12140 13322 18210 18817 19983 21852 26644 27315 33305 36420 37634 39966 54630 56451 59949 66610 75268 79932 94085 99915 109260 112902 119898 133220 169353 188170 199830 206491 225804 239796 282255 299745 338706 376340 399660 412982 564510 599490 619473 677412 825964 846765 1032455 1129020 1198980 1238946 1693530 1858419 2064910 2477892 3097365 3387060 3716838 4043227 4129820 6194730 7433676 8086454 9292095 12129681 12389460 16172908 18584190 20216135 24259362 36389043 37168380 40432270 48518724 60648405 72778086 80864540 121296810 125340037 145556172 181945215 242593620 250680074 363890430 376020111 501360148 626700185 727780860 752040222 1128060333 1253400370 1504080444 1880100555 2256120666 2506800740 3760201110 4512241332 5640301665 7520402220 11280603330 22561206660