Search a number
-
+
6822401 is a prime number
BaseRepresentation
bin11010000001101000000001
3110211121120112
4122001220001
53221304101
6402121105
7111663245
oct32015001
913747515
106822401
11393a853
122350195
13154b431
14c98425
158eb6bb
hex681a01

6822401 has 2 divisors, whose sum is σ = 6822402. Its totient is φ = 6822400.

The previous prime is 6822377. The next prime is 6822481. The reversal of 6822401 is 1042286.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6754801 + 67600 = 2599^2 + 260^2 .

It is a cyclic number.

It is not a de Polignac number, because 6822401 - 214 = 6806017 is a prime.

It is not a weakly prime, because it can be changed into another prime (6822481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3411200 + 3411201.

It is an arithmetic number, because the mean of its divisors is an integer number (3411201).

Almost surely, 26822401 is an apocalyptic number.

It is an amenable number.

6822401 is a deficient number, since it is larger than the sum of its proper divisors (1).

6822401 is an equidigital number, since it uses as much as digits as its factorization.

6822401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 6822401 is about 2611.9726261965. The cubic root of 6822401 is about 189.6614562329.

Adding to 6822401 its reverse (1042286), we get a palindrome (7864687).

The spelling of 6822401 in words is "six million, eight hundred twenty-two thousand, four hundred one".