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22922494848 = 2732113834723
BaseRepresentation
bin10101010110010010…
…011000001110000000
32012011111201101111200
4111112102120032000
5333421124313343
614310324341200
71441016664021
oct252622301600
965144641450
1022922494848
1197a3172720
124538844800
132213cc3526
1411764b4c48
158e26004d3
hex556498380

22922494848 has 192 divisors, whose sum is σ = 72161556480. Its totient is φ = 6926607360.

The previous prime is 22922494811. The next prime is 22922494883. The reversal of 22922494848 is 84849422922.

22922494848 is a `hidden beast` number, since 22 + 92 + 2 + 494 + 8 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22922494794 and 22922494803.

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 23 ways as a sum of consecutive naturals, for example, 4851015 + ... + 4855737.

It is an arithmetic number, because the mean of its divisors is an integer number (375841440).

Almost surely, 222922494848 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 22922494848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36080778240).

22922494848 is an abundant number, since it is smaller than the sum of its proper divisors (49239061632).

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

22922494848 is a wasteful number, since it uses less digits than its factorization.

22922494848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5137 (or 5122 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 22922494848 in words is "twenty-two billion, nine hundred twenty-two million, four hundred ninety-four thousand, eight hundred forty-eight".