Search a number
-
+
223110319 is a prime number
BaseRepresentation
bin11010100110001…
…10010010101111
3120112211011211011
431103012102233
5424104012234
634050010051
75346256255
oct1523062257
9515734734
10223110319
11104a380a3
1262876927
13372b9353
14218ba5d5
15148c1b64
hexd4c64af

223110319 has 2 divisors, whose sum is σ = 223110320. Its totient is φ = 223110318.

The previous prime is 223110289. The next prime is 223110341. The reversal of 223110319 is 913011322.

It is an a-pointer prime, because the next prime (223110341) can be obtained adding 223110319 to its sum of digits (22).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 223110319 - 213 = 223102127 is a prime.

It is a super-3 number, since 3×2231103193 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 223110319.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223116319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111555159 + 111555160.

It is an arithmetic number, because the mean of its divisors is an integer number (111555160).

Almost surely, 2223110319 is an apocalyptic number.

223110319 is a deficient number, since it is larger than the sum of its proper divisors (1).

223110319 is an equidigital number, since it uses as much as digits as its factorization.

223110319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 223110319 is about 14936.8778196784. The cubic root of 223110319 is about 606.5126812353.

The spelling of 223110319 in words is "two hundred twenty-three million, one hundred ten thousand, three hundred nineteen".