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2002009 is a prime number
BaseRepresentation
bin111101000110001011001
310202201020111
413220301121
51003031014
6110524321
723005522
oct7506131
93681214
102002009
111148159
128066a1
13551329
143a1849
152982c4
hex1e8c59

2002009 has 2 divisors, whose sum is σ = 2002010. Its totient is φ = 2002008.

The previous prime is 2002001. The next prime is 2002019. The reversal of 2002009 is 9002002.

It can be divided in two parts, 200 and 2009, that added together give a square (2209 = 472).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1638400 + 363609 = 1280^2 + 603^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002009 - 23 = 2002001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2002009.

It is not a weakly prime, because it can be changed into another prime (2002001) 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, 1001004 + 1001005.

It is an arithmetic number, because the mean of its divisors is an integer number (1001005).

22002009 is an apocalyptic number.

It is an amenable number.

2002009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002009 is an equidigital number, since it uses as much as digits as its factorization.

2002009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2002009 is about 1414.9236728531. The cubic root of 2002009 is about 126.0342772285.

The spelling of 2002009 in words is "two million, two thousand, nine".