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223138319 is a prime number
BaseRepresentation
bin11010100110011…
…01001000001111
3120112212121020012
431103031020033
5424110411234
634050343435
75346434015
oct1523151017
9515777205
10223138319
11104a57138
126288ab7b
13372c9011
14218c68b5
15148ca0ce
hexd4cd20f

223138319 has 2 divisors, whose sum is σ = 223138320. Its totient is φ = 223138318.

The previous prime is 223138283. The next prime is 223138343. The reversal of 223138319 is 913831322.

223138319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 223138319 - 28 = 223138063 is a prime.

It is a super-3 number, since 3×2231383193 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223132319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111569159 + 111569160.

It is an arithmetic number, because the mean of its divisors is an integer number (111569160).

Almost surely, 2223138319 is an apocalyptic number.

223138319 is a deficient number, since it is larger than the sum of its proper divisors (1).

223138319 is an equidigital number, since it uses as much as digits as its factorization.

223138319 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7776, while the sum is 32.

The square root of 223138319 is about 14937.8150678069. The cubic root of 223138319 is about 606.5380523085.

The spelling of 223138319 in words is "two hundred twenty-three million, one hundred thirty-eight thousand, three hundred nineteen".