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22114312407 = 3211728330671
BaseRepresentation
bin10100100110000111…
…011010000011010111
32010002011222110121200
4110212013122003113
5330242230444112
614054214243543
71412004361005
oct244607320327
963064873550
1022114312407
119418a53250
1243520565b3
132115737175
1410db019a75
158966adcdc
hex5261da0d7

22114312407 has 24 divisors (see below), whose sum is σ = 34852716288. Its totient is φ = 13400336400.

The previous prime is 22114312397. The next prime is 22114312433. The reversal of 22114312407 is 70421341122.

22114312407 is a `hidden beast` number, since 2 + 211 + 43 + 1 + 2 + 407 = 666.

It is not a de Polignac number, because 22114312407 - 24 = 22114312391 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22114312307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 705682 + ... + 736352.

It is an arithmetic number, because the mean of its divisors is an integer number (1452196512).

Almost surely, 222114312407 is an apocalyptic number.

22114312407 is a deficient number, since it is larger than the sum of its proper divisors (12738403881).

22114312407 is a wasteful number, since it uses less digits than its factorization.

22114312407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37971 (or 37968 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 22114312407 its reverse (70421341122), we get a palindrome (92535653529).

The spelling of 22114312407 in words is "twenty-two billion, one hundred fourteen million, three hundred twelve thousand, four hundred seven".

Divisors: 1 3 9 11 33 99 7283 21849 30671 65547 80113 92013 240339 276039 337381 721017 1012143 3036429 223376893 670130679 2010392037 2457145823 7371437469 22114312407