221232322249 has 2 divisors, whose sum is σ = 221232322250. Its totient is φ = 221232322248.

The previous prime is 221232322247. The next prime is 221232322313. The reversal of 221232322249 is 942223232122.

221232322249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 167428272400 + 53804049849 = 409180^2 + 231957^2 .

It is a cyclic number.

It is not a de Polignac number, because 221232322249 - 2¹ = 221232322247 is a prime.

It is a super-3 number, since 3×221232322249³ (a number of 35 digits) contains 333 as substring.

Together with 221232322247, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (221232322247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110616161124 + 110616161125.

It is an arithmetic number, because the mean of its divisors is an integer number (110616161125).

Almost surely, 2^221232322249 is an apocalyptic number.

It is an amenable number.

221232322249 is a deficient number, since it is larger than the sum of its proper divisors (1).

221232322249 is an equidigital number, since it uses as much as digits as its factorization.

221232322249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 41472, while the sum is 34.

The spelling of 221232322249 in words is "two hundred twenty-one billion, two hundred thirty-two million, three hundred twenty-two thousand, two hundred forty-nine".