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22005149 is a prime number
BaseRepresentation
bin101001111110…
…0010110011101
31112101222101112
41103330112131
521113131044
62103351405
7355016645
oct123742635
945358345
1022005149
111146a881
127452565
134735cca
142ccb525
151dea09e
hex14fc59d

22005149 has 2 divisors, whose sum is σ = 22005150. Its totient is φ = 22005148.

The previous prime is 22005131. The next prime is 22005167. The reversal of 22005149 is 94150022.

It is a balanced prime because it is at equal distance from previous prime (22005131) and next prime (22005167).

It can be written as a sum of positive squares in only one way, i.e., 21808900 + 196249 = 4670^2 + 443^2 .

It is a cyclic number.

It is not a de Polignac number, because 22005149 - 28 = 22004893 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22005169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11002574 + 11002575.

It is an arithmetic number, because the mean of its divisors is an integer number (11002575).

Almost surely, 222005149 is an apocalyptic number.

It is an amenable number.

22005149 is a deficient number, since it is larger than the sum of its proper divisors (1).

22005149 is an equidigital number, since it uses as much as digits as its factorization.

22005149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 22005149 is about 4690.9646129554. The cubic root of 22005149 is about 280.2257915126.

The spelling of 22005149 in words is "twenty-two million, five thousand, one hundred forty-nine".