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22540508741 is a prime number
BaseRepresentation
bin10100111111100001…
…001101111001000101
32011011212221111002002
4110333201031321011
5332130332234431
614204401155045
71425401106632
oct247741157105
964155844062
1022540508741
119617590923
12445092ba85
132182b1b34a
14113b87d189
158bdce93cb
hex53f84de45

22540508741 has 2 divisors, whose sum is σ = 22540508742. Its totient is φ = 22540508740.

The previous prime is 22540508719. The next prime is 22540508761. The reversal of 22540508741 is 14780504522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20053392100 + 2487116641 = 141610^2 + 49871^2 .

It is a cyclic number.

It is not a de Polignac number, because 22540508741 - 226 = 22473399877 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22540508695 and 22540508704.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22540508761) 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 as a sum of consecutive naturals, namely, 11270254370 + 11270254371.

It is an arithmetic number, because the mean of its divisors is an integer number (11270254371).

Almost surely, 222540508741 is an apocalyptic number.

It is an amenable number.

22540508741 is a deficient number, since it is larger than the sum of its proper divisors (1).

22540508741 is an equidigital number, since it uses as much as digits as its factorization.

22540508741 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 89600, while the sum is 38.

The spelling of 22540508741 in words is "twenty-two billion, five hundred forty million, five hundred eight thousand, seven hundred forty-one".