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22110112220 = 22572179126041
BaseRepresentation
bin10100100101110111…
…011000100111011100
32010001220002002001012
4110211313120213130
5330240142042340
614053544234352
71411623565400
oct244567304734
963056062035
1022110112220
119416644619
12435076b9b8
1321148c6451
1410da645100
1589612e565
hex525dd89dc

22110112220 has 72 divisors (see below), whose sum is σ = 54314018640. Its totient is φ = 7538200320.

The previous prime is 22110112159. The next prime is 22110112247. The reversal of 22110112220 is 2221101122.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 22110112195 and 22110112204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112400 + ... + 238440.

It is an arithmetic number, because the mean of its divisors is an integer number (754361370).

Almost surely, 222110112220 is an apocalyptic number.

22110112220 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 22110112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27157009320).

22110112220 is an abundant number, since it is smaller than the sum of its proper divisors (32203906420).

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

22110112220 is a wasteful number, since it uses less digits than its factorization.

22110112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126243 (or 126234 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22110112220 its reverse (2221101122), we get a palindrome (24331213342).

The spelling of 22110112220 in words is "twenty-two billion, one hundred ten million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 179 196 245 358 490 716 895 980 1253 1790 2506 3580 5012 6265 8771 12530 17542 25060 35084 43855 87710 126041 175420 252082 504164 630205 882287 1260410 1764574 2520820 3529148 4411435 6176009 8822870 12352018 17645740 22561339 24704036 30880045 45122678 61760090 90245356 112806695 123520180 157929373 225613390 315858746 451226780 631717492 789646865 1105505611 1579293730 2211011222 3158587460 4422022444 5527528055 11055056110 22110112220