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822106012 = 227133975689
BaseRepresentation
bin110001000000000…
…101011110011100
32010021221022102211
4301000011132130
53140424343022
6213324330204
726241533350
oct6100053634
92107838384
10822106012
1139206a462
121ab3a3964
13101422a80
147b281460
154c291e77
hex3100579c

822106012 has 48 divisors (see below), whose sum is σ = 1775462080. Its totient is φ = 324352512.

The previous prime is 822105961. The next prime is 822106027. The reversal of 822106012 is 210601228.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141664 + ... + 147352.

Almost surely, 2822106012 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 822106012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887731040).

822106012 is an abundant number, since it is smaller than the sum of its proper divisors (953356068).

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

822106012 is a wasteful number, since it uses less digits than its factorization.

822106012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6110 (or 6108 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 822106012 is about 28672.3911106137. The cubic root of 822106012 is about 936.7907807543.

The spelling of 822106012 in words is "eight hundred twenty-two million, one hundred six thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 397 794 1588 2779 5161 5558 5689 10322 11116 11378 20644 22756 36127 39823 72254 73957 79646 144508 147914 159292 295828 517699 1035398 2070796 2258533 4517066 9034132 15809731 29360929 31619462 58721858 63238924 117443716 205526503 411053006 822106012