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22109982720 = 212357101509
BaseRepresentation
bin10100100101110110…
…111001000000000000
32010001212211111101220
4110211312321000000
5330240123421340
614053541355040
71411622516010
oct244566710000
963055744356
1022109982720
1194165662a1
124350708a80
13211487c517
1410da60dc40
15896105ed0
hex525db9000

22109982720 has 416 divisors, whose sum is σ = 81810397440. Its totient is φ = 4993843200.

The previous prime is 22109982703. The next prime is 22109982743. The reversal of 22109982720 is 2728990122.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43437826 + ... + 43438334.

Almost surely, 222109982720 is an apocalyptic number.

22109982720 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 22109982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40905198720).

22109982720 is an abundant number, since it is smaller than the sum of its proper divisors (59700414720).

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

22109982720 is a wasteful number, since it uses less digits than its factorization.

22109982720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 22109982720 in words is "twenty-two billion, one hundred nine million, nine hundred eighty-two thousand, seven hundred twenty".