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223133969 is a prime number
BaseRepresentation
bin11010100110011…
…00000100010001
3120112212101021002
431103030010101
5424110241334
634050311345
75346415232
oct1523140421
9515771232
10223133969
11104a53943
1262888555
13372c7046
14218c5089
15148c8b7e
hexd4cc111

223133969 has 2 divisors, whose sum is σ = 223133970. Its totient is φ = 223133968.

The previous prime is 223133941. The next prime is 223133987. The reversal of 223133969 is 969331322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 213598225 + 9535744 = 14615^2 + 3088^2 .

It is a cyclic number.

It is not a de Polignac number, because 223133969 - 224 = 206356753 is a prime.

It is a super-3 number, since 3×2231339693 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (223133069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111566984 + 111566985.

It is an arithmetic number, because the mean of its divisors is an integer number (111566985).

Almost surely, 2223133969 is an apocalyptic number.

It is an amenable number.

223133969 is a deficient number, since it is larger than the sum of its proper divisors (1).

223133969 is an equidigital number, since it uses as much as digits as its factorization.

223133969 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 52488, while the sum is 38.

The square root of 223133969 is about 14937.6694634739. The cubic root of 223133969 is about 606.5341108703.

The spelling of 223133969 in words is "two hundred twenty-three million, one hundred thirty-three thousand, nine hundred sixty-nine".