221140393 has 2 divisors, whose sum is σ = 221140394. Its totient is φ = 221140392.

The previous prime is 221140349. The next prime is 221140417. The reversal of 221140393 is 393041122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 145154304 + 75986089 = 12048^2 + 8717^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-221140393 is a prime.

It is a super-3 number, since 3×221140393³ (a number of 26 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (221140313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110570196 + 110570197.

It is an arithmetic number, because the mean of its divisors is an integer number (110570197).

Almost surely, 2^221140393 is an apocalyptic number.

It is an amenable number.

221140393 is a deficient number, since it is larger than the sum of its proper divisors (1).

221140393 is an equidigital number, since it uses as much as digits as its factorization.

221140393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 221140393 is about 14870.7899252192. The cubic root of 221140393 is about 604.7223578643.

The spelling of 221140393 in words is "two hundred twenty-one million, one hundred forty thousand, three hundred ninety-three".