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22234122200 = 23522394611009
BaseRepresentation
bin10100101101010000…
…011100011111011000
32010101112102102202102
4110231100130133120
5331013413402300
614114134222532
71414660630463
oct245520343730
963345372672
1022234122200
11947a645104
1243861b4a48
1321344c5634
14110ccc62da
158a1e780d5
hex52d41c7d8

22234122200 has 96 divisors (see below), whose sum is σ = 52074792000. Its totient is φ = 8828467200.

The previous prime is 22234122199. The next prime is 22234122203. The reversal of 22234122200 is 222143222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22234122203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22035296 + ... + 22036304.

It is an arithmetic number, because the mean of its divisors is an integer number (542445750).

Almost surely, 222234122200 is an apocalyptic number.

22234122200 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 22234122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26037396000).

22234122200 is an abundant number, since it is smaller than the sum of its proper divisors (29840669800).

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

22234122200 is a wasteful number, since it uses less digits than its factorization.

22234122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22234122200 its reverse (222143222), we get a palindrome (22456265422).

The spelling of 22234122200 in words is "twenty-two billion, two hundred thirty-four million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 239 461 478 922 956 1009 1195 1844 1912 2018 2305 2390 3688 4036 4610 4780 5045 5975 8072 9220 9560 10090 11525 11950 18440 20180 23050 23900 25225 40360 46100 47800 50450 92200 100900 110179 201800 220358 241151 440716 465149 482302 550895 881432 930298 964604 1101790 1205755 1860596 1929208 2203580 2325745 2411510 2754475 3721192 4407160 4651490 4823020 5508950 6028775 9302980 9646040 11017900 11628725 12057550 18605960 22035800 23257450 24115100 46514900 48230200 93029800 111170611 222341222 444682444 555853055 889364888 1111706110 2223412220 2779265275 4446824440 5558530550 11117061100 22234122200