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22000022000020 = 22510333877274661
BaseRepresentation
bin1010000000010010001110…
…11111110001000110010100
32212220011220100201001222101
411000021013133301012110
510340422021113000040
6114442400502411444
74430310024355651
oct500110737610624
985804810631871
1022000022000020
11701217a974859
122573902a30b84
13c3779327b96c
14560b419d6c28
1528240ec5c09a
hex1402477f1194

22000022000020 has 48 divisors (see below), whose sum is σ = 46256866741008. Its totient is φ = 8789190312960.

The previous prime is 22000022000017. The next prime is 22000022000039. The reversal of 22000022000020 is 2000022000022.

It can be written as a sum of positive squares in 8 ways, for example, as 504892671364 + 21495129328656 = 710558^2 + 4636284^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 22000021999970 and 22000022000006.

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 15 ways as a sum of consecutive naturals, for example, 79961490 + ... + 80236150.

It is an arithmetic number, because the mean of its divisors is an integer number (963684723771).

Almost surely, 222000022000020 is an apocalyptic number.

22000022000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22000022000020 is an abundant number, since it is smaller than the sum of its proper divisors (24256844740988).

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

22000022000020 is a wasteful number, since it uses less digits than its factorization.

22000022000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279580 (or 279578 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 22000022000020 its reverse (2000022000022), we get a palindrome (24000044000042).

The spelling of 22000022000020 in words is "twenty-two trillion, twenty-two million, twenty", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 10 20 1033 2066 3877 4132 5165 7754 10330 15508 19385 20660 38770 77540 274661 549322 1098644 1373305 2746610 4004941 5493220 8009882 16019764 20024705 40049410 80098820 283724813 567449626 1064860697 1134899252 1418624065 2129721394 2837248130 4259442788 5324303485 5674496260 10648606970 21297213940 1100001100001 2200002200002 4400004400004 5500005500005 11000011000010 22000022000020