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22012102200 = 23352112476451
BaseRepresentation
bin10100100000000001…
…100000011000111000
32002211001122122120110
4110200001200120320
5330040044232300
614040123424320
71406323532034
oct244001403070
962731578513
1022012102200
119376292200
1243239850a0
1320ca4cb65a
1410cb6111c4
1588c71e550
hex520060638

22012102200 has 288 divisors, whose sum is σ = 76612596480. Its totient is φ = 5221920000.

The previous prime is 22012102159. The next prime is 22012102201. The reversal of 22012102200 is 220121022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22012102201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3408975 + ... + 3415425.

It is an arithmetic number, because the mean of its divisors is an integer number (266015960).

Almost surely, 222012102200 is an apocalyptic number.

22012102200 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 22012102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38306298240).

22012102200 is an abundant number, since it is smaller than the sum of its proper divisors (54600494280).

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

22012102200 is a wasteful number, since it uses less digits than its factorization.

22012102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6539 (or 6519 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22012102200 its reverse (220121022), we get a palindrome (22232223222).

22012102200 divided by its reverse (220121022) gives a square (100 = 102).

The spelling of 22012102200 in words is "twenty-two billion, twelve million, one hundred two thousand, two hundred".