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22002100229 is a prime number
BaseRepresentation
bin10100011111011011…
…010110100000000101
32002210100211111110002
4110133123112200011
5330030014201404
614035125211045
71406142523544
oct243733264005
962710744402
1022002100229
11937068060a
124320560a85
1320c8408c25
1410ca16a15b
1588b8e5c1e
hex51f6d6805

22002100229 has 2 divisors, whose sum is σ = 22002100230. Its totient is φ = 22002100228.

The previous prime is 22002100193. The next prime is 22002100259. The reversal of 22002100229 is 92200120022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20304825025 + 1697275204 = 142495^2 + 41198^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22002100229 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 22002100229.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22002100259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11001050114 + 11001050115.

It is an arithmetic number, because the mean of its divisors is an integer number (11001050115).

Almost surely, 222002100229 is an apocalyptic number.

It is an amenable number.

22002100229 is a deficient number, since it is larger than the sum of its proper divisors (1).

22002100229 is an equidigital number, since it uses as much as digits as its factorization.

22002100229 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 20.

The spelling of 22002100229 in words is "twenty-two billion, two million, one hundred thousand, two hundred twenty-nine".