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34222009 is a prime number
BaseRepresentation
bin1000001010001…
…0111110111001
32101101122202211
42002202332321
532230101014
63221255121
7563611423
oct202427671
971348684
1034222009
1118354558
12b5644a1
137122913
14478b813
15300ecc4
hex20a2fb9

34222009 has 2 divisors, whose sum is σ = 34222010. Its totient is φ = 34222008.

The previous prime is 34221997. The next prime is 34222033. The reversal of 34222009 is 90022243.

34222009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22353984 + 11868025 = 4728^2 + 3445^2 .

It is a cyclic number.

It is not a de Polignac number, because 34222009 - 27 = 34221881 is a prime.

It is a super-2 number, since 2×342220092 = 2342291799992162, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34222039) by changing a digit.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17111004 + 17111005.

It is an arithmetic number, because the mean of its divisors is an integer number (17111005).

Almost surely, 234222009 is an apocalyptic number.

It is an amenable number.

34222009 is a deficient number, since it is larger than the sum of its proper divisors (1).

34222009 is an equidigital number, since it uses as much as digits as its factorization.

34222009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 34222009 is about 5849.9580340375. The cubic root of 34222009 is about 324.6647714997.

The spelling of 34222009 in words is "thirty-four million, two hundred twenty-two thousand, nine".