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2242431029 is a prime number
BaseRepresentation
bin1000010110101000…
…1100100000110101
312210021112022002002
42011222030200311
514043030243104
61010303025045
7106366230536
oct20552144065
95707468062
102242431029
11a50880693
12526b9b185
13299769887
14173b6468d
15d1cee01e
hex85a8c835

2242431029 has 2 divisors, whose sum is σ = 2242431030. Its totient is φ = 2242431028.

The previous prime is 2242431001. The next prime is 2242431043. The reversal of 2242431029 is 9201342422.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1225140004 + 1017291025 = 35002^2 + 31895^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2242431029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2242430992 and 2242431010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2242431049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1121215514 + 1121215515.

It is an arithmetic number, because the mean of its divisors is an integer number (1121215515).

Almost surely, 22242431029 is an apocalyptic number.

It is an amenable number.

2242431029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2242431029 is an equidigital number, since it uses as much as digits as its factorization.

2242431029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 2242431029 is about 47354.3137316971. The cubic root of 2242431029 is about 1308.8996896740.

The spelling of 2242431029 in words is "two billion, two hundred forty-two million, four hundred thirty-one thousand, twenty-nine".