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22111320200 = 23528911310993
BaseRepresentation
bin10100100101111011…
…111111100010001000
32010001222100110002012
4110211323333202020
5330240444221300
614054030155052
71411640056244
oct244573774210
963058313065
1022111320200
11941729a152
124351052a88
132114c2a228
1410da87b424
158962bc435
hex525eff888

22111320200 has 96 divisors (see below), whose sum is σ = 52451274600. Its totient is φ = 8666972160.

The previous prime is 22111320103. The next prime is 22111320223. The reversal of 22111320200 is 202311122.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 3731010724 + 18380309476 = 61082^2 + 135574^2 .

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, 2005904 + ... + 2016896.

Almost surely, 222111320200 is an apocalyptic number.

22111320200 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 22111320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26225637300).

22111320200 is an abundant number, since it is smaller than the sum of its proper divisors (30339954400).

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

22111320200 is a wasteful number, since it uses less digits than its factorization.

22111320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11211 (or 11202 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 22111320200 its reverse (202311122), we get a palindrome (22313631322).

The spelling of 22111320200 in words is "twenty-two billion, one hundred eleven million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 113 178 200 226 356 445 452 565 712 890 904 1130 1780 2225 2260 2825 3560 4450 4520 5650 8900 10057 10993 11300 17800 20114 21986 22600 40228 43972 50285 54965 80456 87944 100570 109930 201140 219860 251425 274825 402280 439720 502850 549650 978377 1005700 1099300 1242209 1956754 2011400 2198600 2484418 3913508 4891885 4968836 6211045 7827016 9783770 9937672 12422090 19567540 24459425 24844180 31055225 39135080 48918850 49688360 62110450 97837700 110556601 124220900 195675400 221113202 248441800 442226404 552783005 884452808 1105566010 2211132020 2763915025 4422264040 5527830050 11055660100 22111320200