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22001970816 = 2733719151317
BaseRepresentation
bin10100011111011010…
…110110111010000000
32002210100120220221000
4110133122312322000
5330030001031231
614035122332000
71406141444340
oct243732667200
962710526830
1022001970816
1193705a2361
1243204ba000
1320c8392057
1410ca134d20
1588b8bc6e6
hex51f6b6e80

22001970816 has 512 divisors, whose sum is σ = 78884352000. Its totient is φ = 5897318400.

The previous prime is 22001970791. The next prime is 22001970827. The reversal of 22001970816 is 61807910022.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69406690 + ... + 69407006.

It is an arithmetic number, because the mean of its divisors is an integer number (154071000).

Almost surely, 222001970816 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 22001970816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39442176000).

22001970816 is an abundant number, since it is smaller than the sum of its proper divisors (56882381184).

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

22001970816 is a wasteful number, since it uses less digits than its factorization.

22001970816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 22001970816 in words is "twenty-two billion, one million, nine hundred seventy thousand, eight hundred sixteen".