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223112321 is a prime number
BaseRepresentation
bin11010100110001…
…10110010000001
3120112211021120022
431103012302001
5424104043241
634050023225
75346265145
oct1523066201
9515737508
10223112321
11104a39653
1262877b15
13372ba233
14218bb225
15148c254b
hexd4c6c81

223112321 has 2 divisors, whose sum is σ = 223112322. Its totient is φ = 223112320.

The previous prime is 223112303. The next prime is 223112327. The reversal of 223112321 is 123211322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 222337921 + 774400 = 14911^2 + 880^2 .

It is a cyclic number.

It is not a de Polignac number, because 223112321 - 214 = 223095937 is a prime.

It is a super-3 number, since 3×2231123213 (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 223112321.

It is not a weakly prime, because it can be changed into another prime (223112327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111556160 + 111556161.

It is an arithmetic number, because the mean of its divisors is an integer number (111556161).

Almost surely, 2223112321 is an apocalyptic number.

It is an amenable number.

223112321 is a deficient number, since it is larger than the sum of its proper divisors (1).

223112321 is an equidigital number, since it uses as much as digits as its factorization.

223112321 is an evil number, because the sum of its binary digits is even.

The product of its digits is 144, while the sum is 17.

The square root of 223112321 is about 14936.9448348717. The cubic root of 223112321 is about 606.5144953375.

Adding to 223112321 its reverse (123211322), we get a palindrome (346323643).

Subtracting from 223112321 its reverse (123211322), we obtain a palindrome (99900999).

The spelling of 223112321 in words is "two hundred twenty-three million, one hundred twelve thousand, three hundred twenty-one".