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22285778960 = 2452331195589
BaseRepresentation
bin10100110000010101…
…100000000000010000
32010112010121212111202
4110300111200000100
5331120124411320
614123221330332
71416155665334
oct246025400020
963463555452
1022285778960
1194a6817645
12439b5669a8
132142110b73
141115ad17c4
158a677db75
hex530560010

22285778960 has 40 divisors (see below), whose sum is σ = 52036859160. Its totient is φ = 8876045312.

The previous prime is 22285778909. The next prime is 22285778969. The reversal of 22285778960 is 6987758222.

It can be written as a sum of positive squares in 4 ways, for example, as 997801744 + 21287977216 = 31588^2 + 145904^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 22285778896 and 22285778905.

It is not an unprimeable number, because it can be changed into a prime (22285778969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 579155 + ... + 616434.

It is an arithmetic number, because the mean of its divisors is an integer number (1300921479).

Almost surely, 222285778960 is an apocalyptic number.

22285778960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22285778960 is an abundant number, since it is smaller than the sum of its proper divisors (29751080200).

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

22285778960 is a wasteful number, since it uses less digits than its factorization.

22285778960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195835 (or 1195829 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 56.

The spelling of 22285778960 in words is "twenty-two billion, two hundred eighty-five million, seven hundred seventy-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 233 466 932 1165 1864 2330 3728 4660 9320 18640 1195589 2391178 4782356 5977945 9564712 11955890 19129424 23911780 47823560 95647120 278572237 557144474 1114288948 1392861185 2228577896 2785722370 4457155792 5571444740 11142889480 22285778960