Search a number
-
+
223133322233 is a prime number
BaseRepresentation
bin1100111111001111001…
…0000100101111111001
3210022221112201012210202
43033303302010233321
512123434112302413
6250301145251545
722056310642103
oct3176362045771
9708845635722
10223133322233
11866a2a41628
12372b2a93bb5
131806cbbb023
14ab2a596573
155c0e31be58
hex33f3c84bf9

223133322233 has 2 divisors, whose sum is σ = 223133322234. Its totient is φ = 223133322232.

The previous prime is 223133322169. The next prime is 223133322257. The reversal of 223133322233 is 332223331322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126243064249 + 96890257984 = 355307^2 + 311272^2 .

It is a cyclic number.

It is not a de Polignac number, because 223133322233 - 26 = 223133322169 is a prime.

It is a super-3 number, since 3×2231333222333 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223133322196 and 223133322205.

It is not a weakly prime, because it can be changed into another prime (223133322733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111566661116 + 111566661117.

It is an arithmetic number, because the mean of its divisors is an integer number (111566661117).

Almost surely, 2223133322233 is an apocalyptic number.

It is an amenable number.

223133322233 is a deficient number, since it is larger than the sum of its proper divisors (1).

223133322233 is an equidigital number, since it uses as much as digits as its factorization.

223133322233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23328, while the sum is 29.

Adding to 223133322233 its reverse (332223331322), we get a palindrome (555356653555).

The spelling of 223133322233 in words is "two hundred twenty-three billion, one hundred thirty-three million, three hundred twenty-two thousand, two hundred thirty-three".