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22406575680 = 263257780061
BaseRepresentation
bin10100110111100010…
…010011011001000000
32010211112220222110100
4110313202103121000
5331342040410210
614143214402400
71422153515346
oct246742233100
963745828410
1022406575680
119558a22a45
124413b00400
132161156608
141127b77996
158b21905c0
hex537893640

22406575680 has 84 divisors (see below), whose sum is σ = 77069294172. Its totient is φ = 5975086080.

The previous prime is 22406575679. The next prime is 22406575717. The reversal of 22406575680 is 8657560422.

22406575680 is a `hidden beast` number, since 2 + 24 + 0 + 65 + 7 + 568 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4349666304 + 18056909376 = 65952^2 + 134376^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3887151 + ... + 3892910.

Almost surely, 222406575680 is an apocalyptic number.

22406575680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22406575680 is an abundant number, since it is smaller than the sum of its proper divisors (54662718492).

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

22406575680 is a wasteful number, since it uses less digits than its factorization.

22406575680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7780084 (or 7780071 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 22406575680 in words is "twenty-two billion, four hundred six million, five hundred seventy-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 7780061 15560122 23340183 31120244 38900305 46680366 62240488 70020549 77800610 93360732 116700915 124480976 140041098 155601220 186721464 233401830 248961952 280082196 311202440 350102745 373442928 466803660 497923904 560164392 622404880 700205490 746885856 933607320 1120328784 1244809760 1400410980 1493771712 1867214640 2240657568 2489619520 2800821960 3734429280 4481315136 5601643920 7468858560 11203287840 22406575680