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22120332200 = 2352110601661
BaseRepresentation
bin10100100110011110…
…010111101110101000
32010002121022022012222
4110212132113232220
5330300301112300
614054551253212
71412106502301
oct244636275650
963077268188
1022120332200
119421394a8a
12435407a208
132116a64185
1410dbb457a8
15896e9c785
hex526797ba8

22120332200 has 24 divisors (see below), whose sum is σ = 51429772830. Its totient is φ = 8848132800.

The previous prime is 22120332197. The next prime is 22120332203. The reversal of 22120332200 is 223302122.

It is an interprime number because it is at equal distance from previous prime (22120332197) and next prime (22120332203).

It can be written as a sum of positive squares in 3 ways, for example, as 21355145956 + 765186244 = 146134^2 + 27662^2 .

It is not an unprimeable number, because it can be changed into a prime (22120332203) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 55300631 + ... + 55301030.

Almost surely, 222120332200 is an apocalyptic number.

22120332200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22120332200 is an abundant number, since it is smaller than the sum of its proper divisors (29309440630).

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

22120332200 is a wasteful number, since it uses less digits than its factorization.

22120332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110601677 (or 110601668 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 22120332200 its reverse (223302122), we get a palindrome (22343634322).

The spelling of 22120332200 in words is "twenty-two billion, one hundred twenty million, three hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 110601661 221203322 442406644 553008305 884813288 1106016610 2212033220 2765041525 4424066440 5530083050 11060166100 22120332200