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222112212201 = 321131233383811
BaseRepresentation
bin1100111011011011101…
…0110110010011101001
3210020022101022110011200
43032312322312103221
512114341211242301
6250011551314413
722022101436655
oct3166672662351
9706271273150
10222112212201
118621960a540
1237068b1ba09
1317c3949c3c9
14aa70b11a65
155b9e86ac86
hex33b6eb64e9

222112212201 has 96 divisors (see below), whose sum is σ = 364231655424. Its totient is φ = 129213792000.

The previous prime is 222112212193. The next prime is 222112212277. The reversal of 222112212201 is 102212211222.

It is a happy number.

222112212201 is a `hidden beast` number, since 2 + 221 + 1 + 221 + 220 + 1 = 666.

It is not a de Polignac number, because 222112212201 - 23 = 222112212193 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (222112012201) 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 95 ways as a sum of consecutive naturals, for example, 273874086 + ... + 273874896.

It is an arithmetic number, because the mean of its divisors is an integer number (3794079744).

Almost surely, 2222112212201 is an apocalyptic number.

It is an amenable number.

222112212201 is a deficient number, since it is larger than the sum of its proper divisors (142119443223).

222112212201 is a wasteful number, since it uses less digits than its factorization.

222112212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1472 counting only the distinct ones).

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

Adding to 222112212201 its reverse (102212211222), we get a palindrome (324324423423).

The spelling of 222112212201 in words is "two hundred twenty-two billion, one hundred twelve million, two hundred twelve thousand, two hundred one".

Divisors: 1 3 9 11 31 33 93 99 233 279 341 383 699 811 1023 1149 2097 2433 2563 3069 3447 4213 7223 7299 7689 8921 11873 12639 21669 23067 25141 26763 35619 37917 65007 75423 79453 80289 89239 106857 130603 188963 226269 238359 267717 276551 310613 391809 566889 715077 803151 829653 931839 981629 1175427 1700667 2078593 2488959 2766409 2795517 2944887 3416743 5857853 6235779 8299227 8834661 9629003 10250229 17573559 18707337 24897681 28887009 30430499 30750687 52720677 64436383 72372829 86661027 91291497 105919033 193309149 217118487 273874491 317757099 579927447 651355461 796101119 953271297 2243557699 2388303357 6730673097 7164910071 20192019291 24679134689 74037404067 222112212201