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22826311680 = 213354312
BaseRepresentation
bin10101010000100011…
…011110000000000000
32011220210201210000010
4111100203132000000
5333222013433210
614253011024520
71435441306434
oct252043360000
964823653003
1022826311680
1197539488a7
12451059b140
1321ca0b8103
1411677d89c4
158d8e51920
hex5508de000

22826311680 has 168 divisors, whose sum is σ = 73209598056. Its totient is φ = 6072893440.

The previous prime is 22826311663. The next prime is 22826311681. The reversal of 22826311680 is 8611362822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22826311681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52961065 + ... + 52961495.

It is an arithmetic number, because the mean of its divisors is an integer number (435771417).

Almost surely, 222826311680 is an apocalyptic number.

22826311680 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 22826311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36604799028).

22826311680 is an abundant number, since it is smaller than the sum of its proper divisors (50383286376).

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

22826311680 is an frugal number, since it uses more digits than its factorization.

22826311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 22826311680 in words is "twenty-two billion, eight hundred twenty-six million, three hundred eleven thousand, six hundred eighty".