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842864022 = 2337111331503
BaseRepresentation
bin110010001111010…
…001010110010110
32011201222221002000
4302033101112112
53211233122042
6215345300130
726613140340
oct6217212626
92151887060
10842864022
113a2858240
121b6334646
13105810210
147dd26290
154dee274c
hex323d1596

842864022 has 256 divisors, whose sum is σ = 2601123840. Its totient is φ = 195177600.

The previous prime is 842863993. The next prime is 842864039. The reversal of 842864022 is 220468248.

It is a happy number.

842864022 is a `hidden beast` number, since 8 + 4 + 2 + 8 + 640 + 2 + 2 = 666.

842864022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1675423 + ... + 1675925.

It is an arithmetic number, because the mean of its divisors is an integer number (10160640).

Almost surely, 2842864022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842864022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300561920).

842864022 is an abundant number, since it is smaller than the sum of its proper divisors (1758259818).

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

842864022 is a wasteful number, since it uses less digits than its factorization.

842864022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 842864022 is about 29032.1205219323. The cubic root of 842864022 is about 944.6099271931.

The spelling of 842864022 in words is "eight hundred forty-two million, eight hundred sixty-four thousand, twenty-two".