220251993 has 16 divisors (see below), whose sum is σ = 326462976. Its totient is φ = 131166720.

The previous prime is 220251973. The next prime is 220252061. The reversal of 220251993 is 399152022.

It is not a de Polignac number, because 220251993 - 2⁹ = 220251481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220251923) 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 in 15 ways as a sum of consecutive naturals, for example, 89880 + ... + 92297.

It is an arithmetic number, because the mean of its divisors is an integer number (20403936).

Almost surely, 2^220251993 is an apocalyptic number.

It is an amenable number.

220251993 is a deficient number, since it is larger than the sum of its proper divisors (106210983).

220251993 is a wasteful number, since it uses less digits than its factorization.

220251993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182224.

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 220251993 is about 14840.8892253800. The cubic root of 220251993 is about 603.9114757402.

The spelling of 220251993 in words is "two hundred twenty million, two hundred fifty-one thousand, nine hundred ninety-three".