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22086406320 = 24351131401673
BaseRepresentation
bin10100100100011100…
…111101000010110000
32010000020110200122220
4110210130331002300
5330213110000240
614051340201040
71411215233106
oct244434750260
963006420586
1022086406320
119404222a70
124344839180
13210ca162a4
1410d7433c76
15893eea5d0
hex52473d0b0

22086406320 has 320 divisors, whose sum is σ = 77408759808. Its totient is φ = 5160960000.

The previous prime is 22086406319. The next prime is 22086406327. The reversal of 22086406320 is 2360468022.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (22086406327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32817504 + ... + 32818176.

Almost surely, 222086406320 is an apocalyptic number.

22086406320 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 22086406320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38704379904).

22086406320 is an abundant number, since it is smaller than the sum of its proper divisors (55322353488).

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

22086406320 is a wasteful number, since it uses less digits than its factorization.

22086406320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 22086406320 in words is "twenty-two billion, eighty-six million, four hundred six thousand, three hundred twenty".