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2244037129 is a prime number
BaseRepresentation
bin1000010111000001…
…0100101000001001
312210101112220020021
42011300110220021
514043433142004
61010401300441
7106416000205
oct20560245011
95711486207
102244037129
11a51778344
12527634721
13299bac929
14174061b05
15d2019d54
hex85c14a09

2244037129 has 2 divisors, whose sum is σ = 2244037130. Its totient is φ = 2244037128.

The previous prime is 2244037079. The next prime is 2244037151. The reversal of 2244037129 is 9217304422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1455269904 + 788767225 = 38148^2 + 28085^2 .

It is a cyclic number.

It is not a de Polignac number, because 2244037129 - 219 = 2243512841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2244037094 and 2244037103.

It is not a weakly prime, because it can be changed into another prime (2244031129) 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, 1122018564 + 1122018565.

It is an arithmetic number, because the mean of its divisors is an integer number (1122018565).

Almost surely, 22244037129 is an apocalyptic number.

It is an amenable number.

2244037129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2244037129 is an equidigital number, since it uses as much as digits as its factorization.

2244037129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 2244037129 is about 47371.2690245892. The cubic root of 2244037129 is about 1309.2121068782.

The spelling of 2244037129 in words is "two billion, two hundred forty-four million, thirty-seven thousand, one hundred twenty-nine".