Search a number
-
+
2263338281 is a prime number
BaseRepresentation
bin1000011011100111…
…1100110100101001
312211201212111102202
42012321330310221
514113403311111
61012331105545
7110042025611
oct20671746451
95751774382
102263338281
11a61660606
12531ba22b5
132a0ba9c29
14176847a41
15d3a7db3b
hex86e7cd29

2263338281 has 2 divisors, whose sum is σ = 2263338282. Its totient is φ = 2263338280.

The previous prime is 2263338223. The next prime is 2263338283. The reversal of 2263338281 is 1828333622.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2153424025 + 109914256 = 46405^2 + 10484^2 .

It is a cyclic number.

It is not a de Polignac number, because 2263338281 - 210 = 2263337257 is a prime.

It is a super-2 number, since 2×22633382812 = 10245400348480069922, which contains 22 as substring.

Together with 2263338283, 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 (2263338283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1131669140 + 1131669141.

It is an arithmetic number, because the mean of its divisors is an integer number (1131669141).

Almost surely, 22263338281 is an apocalyptic number.

It is an amenable number.

2263338281 is a deficient number, since it is larger than the sum of its proper divisors (1).

2263338281 is an equidigital number, since it uses as much as digits as its factorization.

2263338281 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 82944, while the sum is 38.

The square root of 2263338281 is about 47574.5549742717. The cubic root of 2263338281 is about 1312.9549442795.

The spelling of 2263338281 in words is "two billion, two hundred sixty-three million, three hundred thirty-eight thousand, two hundred eighty-one".