Search a number
-
+
2224131337 is a prime number
BaseRepresentation
bin1000010010010001…
…1000110100001001
312202000002120121201
42010210120310021
514023334200322
61004410504201
7106054542631
oct20444306411
95660076551
102224131337
11a4151187a
12520a35061
13295a3035c
1417155d6c1
15d03d6d27
hex84918d09

2224131337 has 2 divisors, whose sum is σ = 2224131338. Its totient is φ = 2224131336.

The previous prime is 2224131293. The next prime is 2224131359. The reversal of 2224131337 is 7331314222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1557407296 + 666724041 = 39464^2 + 25821^2 .

It is a cyclic number.

It is not a de Polignac number, because 2224131337 - 27 = 2224131209 is a prime.

It is not a weakly prime, because it can be changed into another prime (2224131137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1112065668 + 1112065669.

It is an arithmetic number, because the mean of its divisors is an integer number (1112065669).

Almost surely, 22224131337 is an apocalyptic number.

It is an amenable number.

2224131337 is a deficient number, since it is larger than the sum of its proper divisors (1).

2224131337 is an equidigital number, since it uses as much as digits as its factorization.

2224131337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6048, while the sum is 28.

The square root of 2224131337 is about 47160.6969520172. The cubic root of 2224131337 is about 1305.3294700096.

Adding to 2224131337 its reverse (7331314222), we get a palindrome (9555445559).

The spelling of 2224131337 in words is "two billion, two hundred twenty-four million, one hundred thirty-one thousand, three hundred thirty-seven".