Search a number
-
+
223013381 is a prime number
BaseRepresentation
bin11010100101011…
…10101000000101
3120112122020211212
431102232220011
5424042412011
634043541205
75345403533
oct1522565005
9515566755
10223013381
11104981288
126282a805
13372841a6
1421893153
15148a308b
hexd4aea05

223013381 has 2 divisors, whose sum is σ = 223013382. Its totient is φ = 223013380.

The previous prime is 223013341. The next prime is 223013389. The reversal of 223013381 is 183310322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198669025 + 24344356 = 14095^2 + 4934^2 .

It is a cyclic number.

It is not a de Polignac number, because 223013381 - 214 = 222996997 is a prime.

It is a super-2 number, since 2×2230133812 = 99469936210102322, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223013389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111506690 + 111506691.

It is an arithmetic number, because the mean of its divisors is an integer number (111506691).

Almost surely, 2223013381 is an apocalyptic number.

It is an amenable number.

223013381 is a deficient number, since it is larger than the sum of its proper divisors (1).

223013381 is an equidigital number, since it uses as much as digits as its factorization.

223013381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 223013381 is about 14933.6325453655. The cubic root of 223013381 is about 606.4248283685.

The spelling of 223013381 in words is "two hundred twenty-three million, thirteen thousand, three hundred eighty-one".