Search a number
-
+
2238863329 is a prime number
BaseRepresentation
bin1000010101110010…
…0101011111100001
312210000211001010001
42011130211133201
514041122111304
61010054340001
7106324011223
oct20534453741
95700731101
102238863329
11a4986417a
1252595a601
13298abaa01
141734b6413
15d1846da4
hex857257e1

2238863329 has 2 divisors, whose sum is σ = 2238863330. Its totient is φ = 2238863328.

The previous prime is 2238863323. The next prime is 2238863339. The reversal of 2238863329 is 9233688322.

2238863329 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 can be written as a sum of positive squares in only one way, i.e., 1896428304 + 342435025 = 43548^2 + 18505^2 .

It is a cyclic number.

It is not a de Polignac number, because 2238863329 - 23 = 2238863321 is a prime.

It is not a weakly prime, because it can be changed into another prime (2238863321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1119431664 + 1119431665.

It is an arithmetic number, because the mean of its divisors is an integer number (1119431665).

Almost surely, 22238863329 is an apocalyptic number.

It is an amenable number.

2238863329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2238863329 is an equidigital number, since it uses as much as digits as its factorization.

2238863329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 746496, while the sum is 46.

The square root of 2238863329 is about 47316.6284618843. The cubic root of 2238863329 is about 1308.2051695931.

The spelling of 2238863329 in words is "two billion, two hundred thirty-eight million, eight hundred sixty-three thousand, three hundred twenty-nine".