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22080066820 = 22571719231829
BaseRepresentation
bin10100100100000100…
…110001010100000100
32002222210112121111121
4110210010301110010
5330204444114240
614050552243324
71411110320440
oct244404612404
962883477447
1022080066820
119400693009
1243426a0544
13210b6068c6
1410d6663820
1589369704a
hex524131504

22080066820 has 288 divisors, whose sum is σ = 61201889280. Its totient is φ = 6524375040.

The previous prime is 22080066793. The next prime is 22080066857. The reversal of 22080066820 is 2866008022.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 26634166 + ... + 26634994.

It is an arithmetic number, because the mean of its divisors is an integer number (212506560).

Almost surely, 222080066820 is an apocalyptic number.

22080066820 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 22080066820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30600944640).

22080066820 is an abundant number, since it is smaller than the sum of its proper divisors (39121822460).

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

22080066820 is a wasteful number, since it uses less digits than its factorization.

22080066820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 22080066820 in words is "twenty-two billion, eighty million, sixty-six thousand, eight hundred twenty".