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22228950744 = 233372111319773
BaseRepresentation
bin10100101100111100…
…101101111011011000
32010101011200200212000
4110230330231323120
5331011102410434
614113431321000
71414565651400
oct245474557330
963334620760
1022228950744
119477732780
124384520160
1321334047c0
14110c33b800
158a17a5b99
hex52cf2ded8

22228950744 has 768 divisors, whose sum is σ = 88941888000. Its totient is φ = 5042580480.

The previous prime is 22228950739. The next prime is 22228950767. The reversal of 22228950744 is 44705982222.

22228950744 is a `hidden beast` number, since 2 + 2 + 22 + 89 + 507 + 44 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 22228950744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28756342 + ... + 28757114.

It is an arithmetic number, because the mean of its divisors is an integer number (115809750).

Almost surely, 222228950744 is an apocalyptic number.

22228950744 is a gapful number since it is divisible by the number (24) 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 22228950744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44470944000).

22228950744 is an abundant number, since it is smaller than the sum of its proper divisors (66712937256).

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

22228950744 is a wasteful number, since it uses less digits than its factorization.

22228950744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 22228950744 in words is "twenty-two billion, two hundred twenty-eight million, nine hundred fifty thousand, seven hundred forty-four".