220252993 has 2 divisors, whose sum is σ = 220252994. Its totient is φ = 220252992.

The previous prime is 220252961. The next prime is 220253021. The reversal of 220252993 is 399252022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 205721649 + 14531344 = 14343^2 + 3812^2 .

It is a cyclic number.

It is not a de Polignac number, because 220252993 - 2⁵ = 220252961 is a prime.

It is a super-2 number, since 2×220252993² = 97022761850916098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (220252913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110126496 + 110126497.

It is an arithmetic number, because the mean of its divisors is an integer number (110126497).

Almost surely, 2^220252993 is an apocalyptic number.

It is an amenable number.

220252993 is a deficient number, since it is larger than the sum of its proper divisors (1).

220252993 is an equidigital number, since it uses as much as digits as its factorization.

220252993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 220252993 is about 14840.9229160453. The cubic root of 220252993 is about 603.9123897093.

The spelling of 220252993 in words is "two hundred twenty million, two hundred fifty-two thousand, nine hundred ninety-three".