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223121233 is a prime number
BaseRepresentation
bin11010100110010…
…00111101010001
3120112211201210101
431103020331101
5424104334413
634050132401
75346333136
oct1523107521
9515751711
10223121233
11104a45315
1262881101
13372c12ca
14218c058d
15148c4edd
hexd4c8f51

223121233 has 2 divisors, whose sum is σ = 223121234. Its totient is φ = 223121232.

The previous prime is 223121207. The next prime is 223121279. The reversal of 223121233 is 332121322.

223121233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 126157824 + 96963409 = 11232^2 + 9847^2 .

It is a cyclic number.

It is not a de Polignac number, because 223121233 - 221 = 221024081 is a prime.

It is a super-3 number, since 3×2231212333 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 223121233.

It is not a weakly prime, because it can be changed into another prime (223121333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111560616 + 111560617.

It is an arithmetic number, because the mean of its divisors is an integer number (111560617).

Almost surely, 2223121233 is an apocalyptic number.

It is an amenable number.

223121233 is a deficient number, since it is larger than the sum of its proper divisors (1).

223121233 is an equidigital number, since it uses as much as digits as its factorization.

223121233 is an evil number, because the sum of its binary digits is even.

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

The square root of 223121233 is about 14937.2431526035. The cubic root of 223121233 is about 606.5225707696.

Adding to 223121233 its reverse (332121322), we get a palindrome (555242555).

The spelling of 223121233 in words is "two hundred twenty-three million, one hundred twenty-one thousand, two hundred thirty-three".