Search a number
-
+
2257361147 is a prime number
BaseRepresentation
bin1000011010001100…
…1001100011111011
312211022121211100102
42012203021203323
514110341024042
61011555030015
7106640152556
oct20643114373
95738554312
102257361147
11a59248928
1252bb9b30b
1329c896472
14175b2d69d
15d329cb32
hex868c98fb

2257361147 has 2 divisors, whose sum is σ = 2257361148. Its totient is φ = 2257361146.

The previous prime is 2257361123. The next prime is 2257361173. The reversal of 2257361147 is 7411637522.

2257361147 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2257361147 - 210 = 2257360123 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2257361147.

It is not a weakly prime, because it can be changed into another prime (2257361047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1128680573 + 1128680574.

It is an arithmetic number, because the mean of its divisors is an integer number (1128680574).

Almost surely, 22257361147 is an apocalyptic number.

2257361147 is a deficient number, since it is larger than the sum of its proper divisors (1).

2257361147 is an equidigital number, since it uses as much as digits as its factorization.

2257361147 is an evil number, because the sum of its binary digits is even.

The product of its digits is 70560, while the sum is 38.

The square root of 2257361147 is about 47511.6948445328. The cubic root of 2257361147 is about 1311.7981535838.

Adding to 2257361147 its reverse (7411637522), we get a palindrome (9668998669).

The spelling of 2257361147 in words is "two billion, two hundred fifty-seven million, three hundred sixty-one thousand, one hundred forty-seven".