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2256313937 is a prime number
BaseRepresentation
bin1000011001111100…
…1001111001010001
312211020122121211212
42012133021321101
514110104021222
61011520345505
7106625231513
oct20637117121
95736577755
102256313937
11a586a3069
1252b775295
1329c5ba907
14175939bb3
15d31426e2
hex867c9e51

2256313937 has 2 divisors, whose sum is σ = 2256313938. Its totient is φ = 2256313936.

The previous prime is 2256313919. The next prime is 2256313949. The reversal of 2256313937 is 7393136522.

2256313937 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., 1405950016 + 850363921 = 37496^2 + 29161^2 .

It is a cyclic number.

It is not a de Polignac number, because 2256313937 - 214 = 2256297553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2256313894 and 2256313903.

It is not a weakly prime, because it can be changed into another prime (2256313957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1128156968 + 1128156969.

It is an arithmetic number, because the mean of its divisors is an integer number (1128156969).

Almost surely, 22256313937 is an apocalyptic number.

It is an amenable number.

2256313937 is a deficient number, since it is larger than the sum of its proper divisors (1).

2256313937 is an equidigital number, since it uses as much as digits as its factorization.

2256313937 is an evil number, because the sum of its binary digits is even.

The product of its digits is 204120, while the sum is 41.

The square root of 2256313937 is about 47500.6730162847. The cubic root of 2256313937 is about 1311.5952705805.

The spelling of 2256313937 in words is "two billion, two hundred fifty-six million, three hundred thirteen thousand, nine hundred thirty-seven".