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22400009 is a prime number
BaseRepresentation
bin101010101110…
…0110000001001
31120011001000222
41111130300021
521213300014
62120035425
7361253102
oct125346011
946131028
1022400009
111170a505
127602b75
134843958
142d913a9
151e7708e
hex155cc09

22400009 has 2 divisors, whose sum is σ = 22400010. Its totient is φ = 22400008.

The previous prime is 22399991. The next prime is 22400023. The reversal of 22400009 is 90000422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16224784 + 6175225 = 4028^2 + 2485^2 .

It is a cyclic number.

It is not a de Polignac number, because 22400009 - 220 = 21351433 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22400009.

It is not a weakly prime, because it can be changed into another prime (22400029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11200004 + 11200005.

It is an arithmetic number, because the mean of its divisors is an integer number (11200005).

Almost surely, 222400009 is an apocalyptic number.

It is an amenable number.

22400009 is a deficient number, since it is larger than the sum of its proper divisors (1).

22400009 is an equidigital number, since it uses as much as digits as its factorization.

22400009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 22400009 is about 4732.8647772781. The cubic root of 22400009 is about 281.8919870360.

The spelling of 22400009 in words is "twenty-two million, four hundred thousand, nine".