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22016160320 = 26571119313741
BaseRepresentation
bin10100100000010000…
…111111001001000000
32002211100021211021012
4110200100333021000
5330042114112240
614040350420052
71406403163220
oct244020771100
962740254235
1022016160320
119378604120
124325201628
1320cb2bc7cb
1410cbd8a080
1588cc71b65
hex52043f240

22016160320 has 896 divisors, whose sum is σ = 74720378880. Its totient is φ = 5971968000.

The previous prime is 22016160319. The next prime is 22016160337. The reversal of 22016160320 is 2306161022.

It is a super-2 number, since 2×220161603202 (a number of 21 digits) contains 22 as substring.

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, 536979500 + ... + 536979540.

It is an arithmetic number, because the mean of its divisors is an integer number (83393280).

Almost surely, 222016160320 is an apocalyptic number.

22016160320 is a gapful number since it is divisible by the number (20) 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 22016160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37360189440).

22016160320 is an abundant number, since it is smaller than the sum of its proper divisors (52704218560).

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

22016160320 is a wasteful number, since it uses less digits than its factorization.

22016160320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The spelling of 22016160320 in words is "twenty-two billion, sixteen million, one hundred sixty thousand, three hundred twenty".