Search a number
-
+
222321331 is a prime number
BaseRepresentation
bin11010100000001…
…01101010110011
3120111100002112101
431100011222303
5423403240311
634021041231
75336462101
oct1520055263
9514302471
10222321331
11104549341
1262556217
13370a11ab
1421752c71
15147b7ec1
hexd405ab3

222321331 has 2 divisors, whose sum is σ = 222321332. Its totient is φ = 222321330.

The previous prime is 222321329. The next prime is 222321349. The reversal of 222321331 is 133123222.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 222321331 - 21 = 222321329 is a prime.

It is a super-2 number, since 2×2223213312 = 98853548435223122, which contains 22 as substring.

Together with 222321329, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 222321299 and 222321308.

It is not a weakly prime, because it can be changed into another prime (222321391) 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, 111160665 + 111160666.

It is an arithmetic number, because the mean of its divisors is an integer number (111160666).

Almost surely, 2222321331 is an apocalyptic number.

222321331 is a deficient number, since it is larger than the sum of its proper divisors (1).

222321331 is an equidigital number, since it uses as much as digits as its factorization.

222321331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 432, while the sum is 19.

The square root of 222321331 is about 14910.4436889048. The cubic root of 222321331 is about 605.7968971946.

Adding to 222321331 its reverse (133123222), we get a palindrome (355444553).

The spelling of 222321331 in words is "two hundred twenty-two million, three hundred twenty-one thousand, three hundred thirty-one".