Search a number
-
+
223022417 is a prime number
BaseRepresentation
bin11010100101100…
…00110101010001
3120112122201020112
431102300311101
5424043204132
634044051105
75345442062
oct1522606521
9515581215
10223022417
11104988052
1262833a95
1337288337
1421896569
15148a5ab2
hexd4b0d51

223022417 has 2 divisors, whose sum is σ = 223022418. Its totient is φ = 223022416.

The previous prime is 223022407. The next prime is 223022447. The reversal of 223022417 is 714220322.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 154728721 + 68293696 = 12439^2 + 8264^2 .

It is a cyclic number.

It is not a de Polignac number, because 223022417 - 26 = 223022353 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 223022392 and 223022401.

It is not a weakly prime, because it can be changed into another prime (223022407) 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, 111511208 + 111511209.

It is an arithmetic number, because the mean of its divisors is an integer number (111511209).

Almost surely, 2223022417 is an apocalyptic number.

It is an amenable number.

223022417 is a deficient number, since it is larger than the sum of its proper divisors (1).

223022417 is an equidigital number, since it uses as much as digits as its factorization.

223022417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 223022417 is about 14933.9350808821. The cubic root of 223022417 is about 606.4330185807.

Adding to 223022417 its reverse (714220322), we get a palindrome (937242739).

The spelling of 223022417 in words is "two hundred twenty-three million, twenty-two thousand, four hundred seventeen".