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220022002009 is a prime number
BaseRepresentation
bin1100110011101001010…
…1010101000101011001
3210000220201012202211101
43030322111111011121
512101101113031014
6245024323031401
721616231105465
oct3147225250531
9700821182741
10220022002009
11853467586a7
1236784b0b561
131799542b544
14a9132934a5
155acb0d9474
hex333a555159

220022002009 has 2 divisors, whose sum is σ = 220022002010. Its totient is φ = 220022002008.

The previous prime is 220022001967. The next prime is 220022002061. The reversal of 220022002009 is 900200220022.

220022002009 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., 186648192784 + 33373809225 = 432028^2 + 182685^2 .

It is a cyclic number.

It is not a de Polignac number, because 220022002009 - 211 = 220021999961 is a prime.

It is not a weakly prime, because it can be changed into another prime (220022002099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110011001004 + 110011001005.

It is an arithmetic number, because the mean of its divisors is an integer number (110011001005).

Almost surely, 2220022002009 is an apocalyptic number.

It is an amenable number.

220022002009 is a deficient number, since it is larger than the sum of its proper divisors (1).

220022002009 is an equidigital number, since it uses as much as digits as its factorization.

220022002009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

The spelling of 220022002009 in words is "two hundred twenty billion, twenty-two million, two thousand, nine".