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223132319 is a prime number
BaseRepresentation
bin11010100110010…
…11101010011111
3120112212021222222
431103023222133
5424110213234
634050255555
75346410354
oct1523135237
9515767888
10223132319
11104a52683
12628875bb
13372c6377
14218c462b
15148c842e
hexd4cba9f

223132319 has 2 divisors, whose sum is σ = 223132320. Its totient is φ = 223132318.

The previous prime is 223132297. The next prime is 223132337. The reversal of 223132319 is 913231322.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223132319 is a prime.

It is a super-3 number, since 3×2231323193 (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 a congruent number.

It is not a weakly prime, because it can be changed into another prime (223132369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111566159 + 111566160.

It is an arithmetic number, because the mean of its divisors is an integer number (111566160).

Almost surely, 2223132319 is an apocalyptic number.

223132319 is a deficient number, since it is larger than the sum of its proper divisors (1).

223132319 is an equidigital number, since it uses as much as digits as its factorization.

223132319 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 26.

The square root of 223132319 is about 14937.6142338728. The cubic root of 223132319 is about 606.5326158287.

The spelling of 223132319 in words is "two hundred twenty-three million, one hundred thirty-two thousand, three hundred nineteen".