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2122332304014 = 23213263145123767
BaseRepresentation
bin11110111000100100110…
…111001111001010001110
321111220002222122210002200
4132320210313033022032
5234233014032212024
64302552550502330
7306222241634436
oct36704467171216
97456088583080
102122332304014
1174909229048a
122a33a49649a6
1312519a9c4490
1474a158732c6
153a317ad62c9
hex1ee24dcf28e

2122332304014 has 96 divisors (see below), whose sum is σ = 4974573187584. Its totient is φ = 650066644800.

The previous prime is 2122332304007. The next prime is 2122332304049. The reversal of 2122332304014 is 4104032332212.

2122332304014 is a `hidden beast` number, since 2 + 1 + 2 + 23 + 3 + 230 + 401 + 4 = 666.

It is a super-2 number, since 2×21223323040142 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 89285559 + ... + 89309325.

It is an arithmetic number, because the mean of its divisors is an integer number (51818470704).

Almost surely, 22122332304014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122332304014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487286593792).

2122332304014 is an abundant number, since it is smaller than the sum of its proper divisors (2852240883570).

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

2122332304014 is a wasteful number, since it uses less digits than its factorization.

2122332304014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25502 (or 25499 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2122332304014 its reverse (4104032332212), we get a palindrome (6226364636226).

The spelling of 2122332304014 in words is "two trillion, one hundred twenty-two billion, three hundred thirty-two million, three hundred four thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 263 526 789 1451 1578 2367 2902 3419 4353 4734 6838 8706 10257 13059 18863 20514 23767 26118 30771 37726 47534 56589 61542 71301 113178 142602 169767 213903 308971 339534 381613 427806 617942 763226 926913 1144839 1853826 2289678 2780739 3434517 4960969 5561478 6250721 6869034 9921938 12501442 14882907 18752163 29765814 34485917 37504326 44648721 56256489 68971834 81259373 89297442 103457751 112512978 162518746 206915502 243778119 310373253 448316921 487556238 620746506 731334357 896633842 1344950763 1462668714 2689901526 4034852289 8069704578 9069796171 18139592342 27209388513 54418777026 81628165539 117907350223 163256331078 235814700446 353722050669 707444101338 1061166152007 2122332304014