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2242713217 is a prime number
BaseRepresentation
bin1000010110101101…
…0001011010000001
312210022001122011111
42011223101122001
514043113310332
61010313043321
7106401514333
oct20553213201
95708048144
102242713217
11a50a536a8
125270b6541
13299838154
14173bd9453
15d1d57947
hex85ad1681

2242713217 has 2 divisors, whose sum is σ = 2242713218. Its totient is φ = 2242713216.

The previous prime is 2242713211. The next prime is 2242713247. The reversal of 2242713217 is 7123172422.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1811694096 + 431019121 = 42564^2 + 20761^2 .

It is a cyclic number.

It is not a de Polignac number, because 2242713217 - 211 = 2242711169 is a prime.

It is not a weakly prime, because it can be changed into another prime (2242713211) 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, 1121356608 + 1121356609.

It is an arithmetic number, because the mean of its divisors is an integer number (1121356609).

Almost surely, 22242713217 is an apocalyptic number.

It is an amenable number.

2242713217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2242713217 is an equidigital number, since it uses as much as digits as its factorization.

2242713217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9408, while the sum is 31.

The square root of 2242713217 is about 47357.2931764475. The cubic root of 2242713217 is about 1308.9545914434.

Adding to 2242713217 its reverse (7123172422), we get a palindrome (9365885639).

The spelling of 2242713217 in words is "two billion, two hundred forty-two million, seven hundred thirteen thousand, two hundred seventeen".