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22657109 is a prime number
BaseRepresentation
bin101011001101…
…1100001010101
31120122002201012
41112123201111
521300011414
62125342005
7363403466
oct126334125
946562635
1022657109
1111875692
127707905
134903997
14301ad6d
151ec833e
hex159b855

22657109 has 2 divisors, whose sum is σ = 22657110. Its totient is φ = 22657108.

The previous prime is 22657081. The next prime is 22657111. The reversal of 22657109 is 90175622.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16630084 + 6027025 = 4078^2 + 2455^2 .

It is a cyclic number.

It is not a de Polignac number, because 22657109 - 28 = 22656853 is a prime.

Together with 22657111, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p1427945 and since 22657109 and 1427945 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22657009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11328554 + 11328555.

It is an arithmetic number, because the mean of its divisors is an integer number (11328555).

Almost surely, 222657109 is an apocalyptic number.

It is an amenable number.

22657109 is a deficient number, since it is larger than the sum of its proper divisors (1).

22657109 is an equidigital number, since it uses as much as digits as its factorization.

22657109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 22657109 is about 4759.9484240903. The cubic root of 22657109 is about 282.9663750749.

The spelling of 22657109 in words is "twenty-two million, six hundred fifty-seven thousand, one hundred nine".