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22105225431 = 33818712053
BaseRepresentation
bin10100100101100100…
…101111100011010111
32010001112212210122000
4110211210233203113
5330232414203211
614053251410343
71411534213242
oct244544574327
963045783560
1022105225431
119413907053
12434abb39b3
1321138a5063
1410d9b32259
158959b6656
hex52592f8d7

22105225431 has 8 divisors (see below), whose sum is σ = 32748482160. Its totient is φ = 14736816936.

The previous prime is 22105225393. The next prime is 22105225463. The reversal of 22105225431 is 13452250122.

22105225431 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 5 + 225 + 431 = 666.

It is not a de Polignac number, because 22105225431 - 26 = 22105225367 is a prime.

It is a super-2 number, since 2×221052254312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 818712053 = 22105225431 / (2 + 2 + 1 + 0 + 5 + 2 + 2 + 5 + 4 + 3 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 22105225395 and 22105225404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22105225231) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 409356000 + ... + 409356053.

It is an arithmetic number, because the mean of its divisors is an integer number (4093560270).

Almost surely, 222105225431 is an apocalyptic number.

22105225431 is a deficient number, since it is larger than the sum of its proper divisors (10643256729).

22105225431 is an equidigital number, since it uses as much as digits as its factorization.

22105225431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818712062 (or 818712056 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 22105225431 its reverse (13452250122), we get a palindrome (35557475553).

The spelling of 22105225431 in words is "twenty-two billion, one hundred five million, two hundred twenty-five thousand, four hundred thirty-one".

Divisors: 1 3 9 27 818712053 2456136159 7368408477 22105225431