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22649822208 = 2103313294153
BaseRepresentation
bin10101000110000010…
…001101110000000000
32011110111122011222000
4111012002031300000
5332341323302313
614223304144000
71431166212036
oct250602156000
964414564860
1022649822208
119673263732
124481468000
13219c673080
14114c1b6556
158c86dd673
hex54608dc00

22649822208 has 704 divisors, whose sum is σ = 77995612800. Its totient is φ = 6440878080.

The previous prime is 22649822197. The next prime is 22649822213. The reversal of 22649822208 is 80222894622.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 427355110 + ... + 427355162.

Almost surely, 222649822208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22649822208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38997806400).

22649822208 is an abundant number, since it is smaller than the sum of its proper divisors (55345790592).

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

22649822208 is a wasteful number, since it uses less digits than its factorization.

22649822208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 22649822208 in words is "twenty-two billion, six hundred forty-nine million, eight hundred twenty-two thousand, two hundred eight".