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22034065920 = 293519314871
BaseRepresentation
bin10100100001010101…
…010010101000000000
32002212120222112010120
4110201111102220000
5330111210102140
614042230300240
71410011320146
oct244125225000
962776875116
1022034065920
119387723939
12432b1b7680
132101c1b839
1410d04cb596
1588e60c1d0
hex521552a00

22034065920 has 320 divisors, whose sum is σ = 76555100160. Its totient is φ = 5385830400.

The previous prime is 22034065861. The next prime is 22034065957. The reversal of 22034065920 is 2956043022.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 4521085 + ... + 4525955.

It is an arithmetic number, because the mean of its divisors is an integer number (239234688).

Almost surely, 222034065920 is an apocalyptic number.

22034065920 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 22034065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38277550080).

22034065920 is an abundant number, since it is smaller than the sum of its proper divisors (54521034240).

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

22034065920 is a wasteful number, since it uses less digits than its factorization.

22034065920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4947 (or 4931 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 22034065920 in words is "twenty-two billion, thirty-four million, sixty-five thousand, nine hundred twenty".