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2222222000020 = 22511101211473981
BaseRepresentation
bin100000010101100110110…
…000001011111110010100
321212102221110202002201021
4200111212300023332110
5242402102313000040
64420512533410524
7316356506224111
oct40254660137624
97772843662637
102222222000020
11787491427560
122ba821799a44
131317296c3389
14797addbd908
153cc122d324a
hex20566c0bf94

2222222000020 has 96 divisors (see below), whose sum is σ = 5165690931072. Its totient is φ = 796286400000.

The previous prime is 2222221999997. The next prime is 2222222000093. The reversal of 2222222000020 is 200002222222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2222221999958 and 2222222000003.

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 31 ways as a sum of consecutive naturals, for example, 4451430 + ... + 4925410.

It is an arithmetic number, because the mean of its divisors is an integer number (53809280532).

Almost surely, 22222222000020 is an apocalyptic number.

2222222000020 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 2222222000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582845465536).

2222222000020 is an abundant number, since it is smaller than the sum of its proper divisors (2943468931052).

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

2222222000020 is a wasteful number, since it uses less digits than its factorization.

2222222000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474313 (or 474311 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 2222222000020 its reverse (200002222222), we get a palindrome (2422224222242).

The spelling of 2222222000020 in words is "two trillion, two hundred twenty-two billion, two hundred twenty-two million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 211 220 404 422 505 844 1010 1055 1111 2020 2110 2222 2321 4220 4444 4642 5555 9284 11110 11605 21311 22220 23210 42622 46420 85244 106555 213110 234421 426220 468842 473981 937684 947962 1172105 1895924 2344210 2369905 4688420 4739810 5213791 9479620 10427582 20855164 26068955 47872081 52137910 95744162 100009991 104275820 191488324 200019982 239360405 400039964 478720810 500049955 526592891 957441620 1000099910 1053185782 1100109901 2000199820 2106371564 2200219802 2632964455 4400439604 5265928910 5500549505 10101009091 10531857820 11001099010 20202018182 22002198020 40404036364 50505045455 101010090910 111111100001 202020181820 222222200002 444444400004 555555500005 1111111000010 2222222000020