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22541031220 = 2253730460853
BaseRepresentation
bin10100111111100011…
…001101011100110100
32011011220221000210011
4110333203031130310
5332131000444340
614204420310004
71425405414121
oct247743153464
964156830704
1022541031220
119617908424
124450b42304
132182c720c6
14113b977748
158bdd9e0ea
hex53f8cd734

22541031220 has 24 divisors (see below), whose sum is σ = 48615522984. Its totient is φ = 8772725376.

The previous prime is 22541031203. The next prime is 22541031229. The reversal of 22541031220 is 2213014522.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6278660644 + 16262370576 = 79238^2 + 127524^2 .

It is a super-2 number, since 2×225410312202 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22541031191 and 22541031200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22541031229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15229687 + ... + 15231166.

It is an arithmetic number, because the mean of its divisors is an integer number (2025646791).

Almost surely, 222541031220 is an apocalyptic number.

22541031220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22541031220 is an abundant number, since it is smaller than the sum of its proper divisors (26074491764).

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

22541031220 is a wasteful number, since it uses less digits than its factorization.

22541031220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30460899 (or 30460897 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 22541031220 its reverse (2213014522), we get a palindrome (24754045742).

The spelling of 22541031220 in words is "twenty-two billion, five hundred forty-one million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 30460853 60921706 121843412 152304265 304608530 609217060 1127051561 2254103122 4508206244 5635257805 11270515610 22541031220