Search a number
-
+
2288066257 is a prime number
BaseRepresentation
bin1000100001100001…
…0001111011010001
312220110101210211201
42020120101323101
514141221110012
61015013111201
7110462146051
oct21030217321
95813353751
102288066257
11a74610054
1253a328501
132a6057379
14179c43561
15d5d15857
hex88611ed1

2288066257 has 2 divisors, whose sum is σ = 2288066258. Its totient is φ = 2288066256.

The previous prime is 2288066251. The next prime is 2288066269. The reversal of 2288066257 is 7526608822.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1331958016 + 956108241 = 36496^2 + 30921^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2288066257 is a prime.

It is not a weakly prime, because it can be changed into another prime (2288066251) 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, 1144033128 + 1144033129.

It is an arithmetic number, because the mean of its divisors is an integer number (1144033129).

Almost surely, 22288066257 is an apocalyptic number.

It is an amenable number.

2288066257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2288066257 is an equidigital number, since it uses as much as digits as its factorization.

2288066257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 645120, while the sum is 46.

The square root of 2288066257 is about 47833.7355534773. The cubic root of 2288066257 is about 1317.7191743744.

The spelling of 2288066257 in words is "two billion, two hundred eighty-eight million, sixty-six thousand, two hundred fifty-seven".