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22541144220 = 223257171795879
BaseRepresentation
bin10100111111100011…
…101001000010011100
32011011221010202210100
4110333203221002130
5332131013103340
614204422541100
71425406364430
oct247743510234
964157122710
1022541144220
119617985311
124450b97790
132182cb167a
14113b9a69c0
158bddc2830
hex53f8e909c

22541144220 has 288 divisors, whose sum is σ = 83215641600. Its totient is φ = 4821276672.

The previous prime is 22541144191. The next prime is 22541144257. The reversal of 22541144220 is 2244114522.

It is a happy number.

22541144220 is a `hidden beast` number, since 2 + 25 + 411 + 4 + 4 + 220 = 666.

It is a congruent number.

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, 3831241 + ... + 3837119.

It is an arithmetic number, because the mean of its divisors is an integer number (288943200).

Almost surely, 222541144220 is an apocalyptic number.

22541144220 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 22541144220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41607820800).

22541144220 is an abundant number, since it is smaller than the sum of its proper divisors (60674497380).

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

22541144220 is a wasteful number, since it uses less digits than its factorization.

22541144220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6097 (or 6092 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 22541144220 its reverse (2244114522), we get a palindrome (24785258742).

The spelling of 22541144220 in words is "twenty-two billion, five hundred forty-one million, one hundred forty-four thousand, two hundred twenty".