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22496480880 = 2435292227491
BaseRepresentation
bin10100111100111001…
…010000111001110000
32011001211002122012120
4110330321100321300
5332033044342010
614200145354240
71424324634546
oct247471207160
964054078176
1022496480880
1195a474a065
12443a038980
132176974363
141135a9bd96
158b9eede70
hex53ce50e70

22496480880 has 240 divisors, whose sum is σ = 72692740224. Its totient is φ = 5754936320.

The previous prime is 22496480843. The next prime is 22496480887. The reversal of 22496480880 is 8808469422.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22496480887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45817435 + ... + 45817925.

Almost surely, 222496480880 is an apocalyptic number.

22496480880 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 22496480880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36346370112).

22496480880 is an abundant number, since it is smaller than the sum of its proper divisors (50196259344).

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

22496480880 is a wasteful number, since it uses less digits than its factorization.

22496480880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 22496480880 in words is "twenty-two billion, four hundred ninety-six million, four hundred eighty thousand, eight hundred eighty".