Search a number
-
+
22282112160 = 253257111711821
BaseRepresentation
bin10100110000000111…
…100000110010100000
32010111212201120121100
4110300013200302200
5331113210042120
614123010554400
71416112554060
oct246007406240
963455646540
1022282112160
1194a4742730
12439a298a00
132141428b69
1411154193a0
158a62a7490
hex5301e0ca0

22282112160 has 576 divisors, whose sum is σ = 100385236224. Its totient is φ = 4357324800.

The previous prime is 22282112137. The next prime is 22282112219. The reversal of 22282112160 is 6121128222.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1879050 + ... + 1890870.

It is an arithmetic number, because the mean of its divisors is an integer number (174279924).

Almost surely, 222282112160 is an apocalyptic number.

22282112160 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 22282112160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50192618112).

22282112160 is an abundant number, since it is smaller than the sum of its proper divisors (78103124064).

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

22282112160 is a wasteful number, since it uses less digits than its factorization.

22282112160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11877 (or 11866 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 22282112160 in words is "twenty-two billion, two hundred eighty-two million, one hundred twelve thousand, one hundred sixty".