Search a number
-
+
223212233 is a prime number
BaseRepresentation
bin11010100110111…
…11001011001001
3120120000100121202
431103133023021
5424120242413
634052113545
75350162346
oct1523371311
9516010552
10223212233
11104aa7722
12629058b5
133732385a
14219057cd
15148e1e58
hexd4df2c9

223212233 has 2 divisors, whose sum is σ = 223212234. Its totient is φ = 223212232.

The previous prime is 223212221. The next prime is 223212289. The reversal of 223212233 is 332212322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 210453049 + 12759184 = 14507^2 + 3572^2 .

It is a cyclic number.

It is not a de Polignac number, because 223212233 - 220 = 222163657 is a prime.

It is a super-3 number, since 3×2232122333 (a number of 26 digits) contains 333 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (223212293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111606116 + 111606117.

It is an arithmetic number, because the mean of its divisors is an integer number (111606117).

Almost surely, 2223212233 is an apocalyptic number.

It is an amenable number.

223212233 is a deficient number, since it is larger than the sum of its proper divisors (1).

223212233 is an equidigital number, since it uses as much as digits as its factorization.

223212233 is an evil number, because the sum of its binary digits is even.

The product of its digits is 864, while the sum is 20.

The square root of 223212233 is about 14940.2889195624. The cubic root of 223212233 is about 606.6050163103.

Adding to 223212233 its reverse (332212322), we get a palindrome (555424555).

The spelling of 223212233 in words is "two hundred twenty-three million, two hundred twelve thousand, two hundred thirty-three".