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2210129249 is a prime number
BaseRepresentation
bin1000001110111011…
…1110010101100001
312201000202012100212
42003232332111201
514011243113444
61003150423505
7105524534336
oct20356762541
95630665325
102210129249
11a346188a9
12518201b95
13292b69cb3
1416d75698d
15ce06d19e
hex83bbe561

2210129249 has 2 divisors, whose sum is σ = 2210129250. Its totient is φ = 2210129248.

The previous prime is 2210129219. The next prime is 2210129263. The reversal of 2210129249 is 9429210122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1941988624 + 268140625 = 44068^2 + 16375^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210129249 - 28 = 2210128993 is a prime.

It is not a weakly prime, because it can be changed into another prime (2210129219) 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, 1105064624 + 1105064625.

It is an arithmetic number, because the mean of its divisors is an integer number (1105064625).

Almost surely, 22210129249 is an apocalyptic number.

It is an amenable number.

2210129249 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210129249 is an equidigital number, since it uses as much as digits as its factorization.

2210129249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 2210129249 is about 47012.0117523171. The cubic root of 2210129249 is about 1302.5844540565.

The spelling of 2210129249 in words is "two billion, two hundred ten million, one hundred twenty-nine thousand, two hundred forty-nine".