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2200146444229 is a prime number
BaseRepresentation
bin100000000001000010111…
…100100111111111000101
321210022221222200200011211
4200001002330213333011
5242021344442203404
64402422221531421
7314645452132126
oct40010274477705
97708858620154
102200146444229
11779093345778
122b64a0713b71
1312c61c008b26
14786b81b204d
153c36e22cb04
hex20042f27fc5

2200146444229 has 2 divisors, whose sum is σ = 2200146444230. Its totient is φ = 2200146444228.

The previous prime is 2200146444193. The next prime is 2200146444239. The reversal of 2200146444229 is 9224446410022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2146011115329 + 54135328900 = 1464927^2 + 232670^2 .

It is a cyclic number.

It is not a de Polignac number, because 2200146444229 - 29 = 2200146443717 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2200146444191 and 2200146444200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2200146444239) 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, 1100073222114 + 1100073222115.

It is an arithmetic number, because the mean of its divisors is an integer number (1100073222115).

Almost surely, 22200146444229 is an apocalyptic number.

It is an amenable number.

2200146444229 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200146444229 is an equidigital number, since it uses as much as digits as its factorization.

2200146444229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 2200146444229 in words is "two trillion, two hundred billion, one hundred forty-six million, four hundred forty-four thousand, two hundred twenty-nine".