Search a number
-
+
222001222102122 = 234318140731167193
BaseRepresentation
bin110010011110100010101111…
…111110111010110001101010
31002010001002221212112122010210
4302132202233332322301222
5213044232000324231442
62104053541542321550
764522026144465441
oct6236425776726152
91063032855478123
10222001222102122
116481120a353621
1220a953a81292b6
1396b4819069618
143cb6cb8b75d58
151a9eb6435719c
hexc9e8affbac6a

222001222102122 has 64 divisors (see below), whose sum is σ = 456950736418176. Its totient is φ = 71862424058880.

The previous prime is 222001222102103. The next prime is 222001222102123. The reversal of 222001222102122 is 221201222100222.

It is a super-2 number, since 2×2220012221021222 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (222001222102123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189617358 + ... + 190784550.

It is an arithmetic number, because the mean of its divisors is an integer number (7139855256534).

Almost surely, 2222001222102122 is an apocalyptic number.

222001222102122 is an abundant number, since it is smaller than the sum of its proper divisors (234949514316054).

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

222001222102122 is a wasteful number, since it uses less digits than its factorization.

222001222102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171495.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 222001222102122 its reverse (221201222100222), we get a palindrome (443202444202344).

The spelling of 222001222102122 in words is "two hundred twenty-two trillion, one billion, two hundred twenty-two million, one hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 43 86 129 181 258 362 543 1086 4073 7783 8146 12219 15566 23349 24438 46698 175139 350278 525417 737213 1050834 1167193 1474426 2211639 2334386 3501579 4423278 7003158 31700159 50189299 63400318 95100477 100378598 150567897 190200954 211261933 301135794 422523866 633785799 1267571598 4753977089 9084263119 9507954178 14261931267 18168526238 27252789357 28523862534 54505578714 204421014827 408842029654 613263044481 860469853109 1226526088962 1720939706218 2581409559327 5162819118654 37000203683687 74000407367374 111000611051061 222001222102122