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22207466112 = 27313171511733
BaseRepresentation
bin10100101011101010…
…110000101010000000
32010022200021011110220
4110223222300222000
5330440102403422
614111343023040
71414215230106
oct245352605200
963280234426
1022207466112
119466598a87
12437929aa80
13212bb216c0
141109547c76
1589e95ee5c
hex52bab0a80

22207466112 has 256 divisors, whose sum is σ = 67747518720. Its totient is φ = 6384844800.

The previous prime is 22207466087. The next prime is 22207466147. The reversal of 22207466112 is 21166470222.

It is a super-3 number, since 3×222074661123 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12813598 + ... + 12815330.

It is an arithmetic number, because the mean of its divisors is an integer number (264638745).

Almost surely, 222207466112 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 22207466112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33873759360).

22207466112 is an abundant number, since it is smaller than the sum of its proper divisors (45540052608).

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

22207466112 is a wasteful number, since it uses less digits than its factorization.

22207466112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 22207466112 in words is "twenty-two billion, two hundred seven million, four hundred sixty-six thousand, one hundred twelve".