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2252305457 is a prime number
BaseRepresentation
bin1000011000111111…
…0111010000110001
312210222002222020122
42012033313100301
514103042233312
61011254420025
7106546165133
oct20617672061
95728088218
102252305457
11a56405476
1252a361615
1329b81622c
141751b5053
15d2aeeb72
hex863f7431

2252305457 has 2 divisors, whose sum is σ = 2252305458. Its totient is φ = 2252305456.

The previous prime is 2252305441. The next prime is 2252305459. The reversal of 2252305457 is 7545032522.

2252305457 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1492972321 + 759333136 = 38639^2 + 27556^2 .

It is a cyclic number.

It is not a de Polignac number, because 2252305457 - 24 = 2252305441 is a prime.

Together with 2252305459, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2252305459) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1126152728 + 1126152729.

It is an arithmetic number, because the mean of its divisors is an integer number (1126152729).

Almost surely, 22252305457 is an apocalyptic number.

It is an amenable number.

2252305457 is a deficient number, since it is larger than the sum of its proper divisors (1).

2252305457 is an equidigital number, since it uses as much as digits as its factorization.

2252305457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84000, while the sum is 35.

The square root of 2252305457 is about 47458.4603311148. The cubic root of 2252305457 is about 1310.8181003729.

Adding to 2252305457 its reverse (7545032522), we get a palindrome (9797337979).

The spelling of 2252305457 in words is "two billion, two hundred fifty-two million, three hundred five thousand, four hundred fifty-seven".