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2212552552122 = 2321123133245573
BaseRepresentation
bin100000001100100110011…
…010001010111010111010
321211111222120222020211100
4200030212122022322322
5242222301423131442
64412233235512230
7315565054246653
oct40144632127272
97744876866740
102212552552122
1178337a264200
122b8983458676
13130848340083
1479133b0452a
153c84846b84c
hex2032668aeba

2212552552122 has 72 divisors (see below), whose sum is σ = 5286124794132. Its totient is φ = 668328186240.

The previous prime is 2212552552109. The next prime is 2212552552151.

It is a happy number.

2212552552122 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 5 + 525 + 5 + 2 + 122 = 666.

2212552552122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 2211403952241 + 1148599881 = 1487079^2 + 33891^2 .

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 941073 + ... + 2304500.

Almost surely, 22212552552122 is an apocalyptic number.

2212552552122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2212552552122 is an abundant number, since it is smaller than the sum of its proper divisors (3073572242010).

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

2212552552122 is a wasteful number, since it uses less digits than its factorization.

2212552552122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3245916 (or 3245902 counting only the distinct ones).

The product of its digits is 80000, while the sum is 36.

The spelling of 2212552552122 in words is "two trillion, two hundred twelve billion, five hundred fifty-two million, five hundred fifty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 313 363 626 726 939 1089 1878 2178 2817 3443 5634 6886 10329 20658 30987 37873 61974 75746 113619 227238 340857 681714 3245573 6491146 9736719 19473438 29210157 35701303 58420314 71402606 107103909 214207818 321311727 392714333 642623454 785428666 1015864349 1178142999 2031728698 2356285998 3047593047 3534428997 6095186094 7068857994 9142779141 11174507839 18285558282 22349015678 33523523517 67047047034 100570570551 122919586229 201141141102 245839172458 368758758687 737517517374 1106276276061 2212552552122