220542181 has 2 divisors, whose sum is σ = 220542182. Its totient is φ = 220542180.

The previous prime is 220542103. The next prime is 220542191. The reversal of 220542181 is 181245022.

220542181 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 can be written as a sum of positive squares in only one way, i.e., 194184225 + 26357956 = 13935^2 + 5134^2 .

It is a cyclic number.

It is not a de Polignac number, because 220542181 - 2⁹ = 220541669 is a prime.

It is a super-2 number, since 2×220542181² = 97277707200473522, which contains 22 as substring.

It is equal to p_12150673 and since 220542181 and 12150673 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220542191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110271090 + 110271091.

It is an arithmetic number, because the mean of its divisors is an integer number (110271091).

Almost surely, 2^220542181 is an apocalyptic number.

It is an amenable number.

220542181 is a deficient number, since it is larger than the sum of its proper divisors (1).

220542181 is an equidigital number, since it uses as much as digits as its factorization.

220542181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 220542181 is about 14850.6626451482. The cubic root of 220542181 is about 604.1765826186.

The spelling of 220542181 in words is "two hundred twenty million, five hundred forty-two thousand, one hundred eighty-one".