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221110200220212 = 223210615788831297
BaseRepresentation
bin110010010001100100111010…
…111100001011101000110100
31001222212221002000200012120200
4302101210322330023220310
5212440132142224021322
62102132342415200500
764400453612451342
oct6221447274135064
91058787060605520
10221110200220212
11644a8344769836
122097077a816130
13964b7aa66b934
143c85b0dd0a992
151a868b51338ac
hexc9193af0ba34

221110200220212 has 36 divisors (see below), whose sum is σ = 559444234301316. Its totient is φ = 73633934085120.

The previous prime is 221110200220159. The next prime is 221110200220219. The reversal of 221110200220212 is 212022002011122.

It is a happy number.

221110200220212 is a `hidden beast` number, since 2 + 21 + 1 + 10 + 200 + 220 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 150704742706596 + 70405457513616 = 12276186^2 + 8390796^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221110200220219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2894377453 + ... + 2894453844.

It is an arithmetic number, because the mean of its divisors is an integer number (15540117619481).

Almost surely, 2221110200220212 is an apocalyptic number.

It is an amenable number.

221110200220212 is an abundant number, since it is smaller than the sum of its proper divisors (338334034081104).

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

221110200220212 is a wasteful number, since it uses less digits than its factorization.

221110200220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5788832368 (or 5788832363 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221110200220212 its reverse (212022002011122), we get a palindrome (433132202231334).

The spelling of 221110200220212 in words is "two hundred twenty-one trillion, one hundred ten billion, two hundred million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 1061 2122 3183 4244 6366 9549 12732 19098 38196 5788831297 11577662594 17366493891 23155325188 34732987782 52099481673 69465975564 104198963346 208397926692 6141950006117 12283900012234 18425850018351 24567800024468 36851700036702 55277550055053 73703400073404 110555100110106 221110200220212