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22013400820 = 2251100670041
BaseRepresentation
bin10100100000000110…
…011101011011110100
32002211011002121221111
4110200012131123310
5330040412311240
614040211324404
71406340551065
oct244006353364
962734077844
1022013400820
119376a99944
1243242b0704
1320ca864778
1410cb86c56c
1588c8c91ea
hex52019d6f4

22013400820 has 12 divisors (see below), whose sum is σ = 46228141764. Its totient is φ = 8805360320.

The previous prime is 22013400811. The next prime is 22013400853. The reversal of 22013400820 is 2800431022.

It can be written as a sum of positive squares in 2 ways, for example, as 11363986404 + 10649414416 = 106602^2 + 103196^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22013400791 and 22013400800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 550335001 + ... + 550335040.

It is an arithmetic number, because the mean of its divisors is an integer number (3852345147).

Almost surely, 222013400820 is an apocalyptic number.

22013400820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22013400820 is an abundant number, since it is smaller than the sum of its proper divisors (24214740944).

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

22013400820 is a wasteful number, since it uses less digits than its factorization.

22013400820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100670050 (or 1100670048 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 22013400820 its reverse (2800431022), we get a palindrome (24813831842).

The spelling of 22013400820 in words is "twenty-two billion, thirteen million, four hundred thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 1100670041 2201340082 4402680164 5503350205 11006700410 22013400820