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20226402868 = 22721723326053
BaseRepresentation
bin10010110101100101…
…100110101000110100
31221012121112201121011
4102311211212220310
5312410424342433
613143014002004
71314141405400
oct226545465064
957177481534
1020226402868
11863a305931
123b05946304
131ba4577829
14d9c3bc100
157d5a8d3cd
hex4b5966a34

20226402868 has 72 divisors (see below), whose sum is σ = 43786039752. Its totient is φ = 8123222016.

The previous prime is 20226402853. The next prime is 20226402871. The reversal of 20226402868 is 86820462202.

It can be written as a sum of positive squares in 4 ways, for example, as 5858065444 + 14368337424 = 76538^2 + 119868^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20226402868.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 763330 + ... + 789382.

It is an arithmetic number, because the mean of its divisors is an integer number (608139441).

Almost surely, 220226402868 is an apocalyptic number.

20226402868 is a gapful number since it is divisible by the number (28) 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 20226402868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21893019876).

20226402868 is an abundant number, since it is smaller than the sum of its proper divisors (23559636884).

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

20226402868 is a wasteful number, since it uses less digits than its factorization.

20226402868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26321 (or 26312 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 20226402868 in words is "twenty billion, two hundred twenty-six million, four hundred two thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 233 238 466 476 833 932 1631 1666 3262 3332 3961 6524 7922 11417 15844 22834 26053 27727 45668 52106 55454 104212 110908 182371 194089 364742 388178 442901 729484 776356 885802 1276597 1771604 2553194 3100307 5106388 6070349 6200614 12140698 12401228 21702149 24281396 42492443 43404298 84984886 86808596 103195933 169969772 206391866 297447101 412783732 594894202 722371531 1189788404 1444743062 2889486124 5056600717 10113201434 20226402868