220849321 has 27 divisors (see below), whose sum is σ = 283855383. Its totient is φ = 171198720.

The previous prime is 220849313. The next prime is 220849351. The reversal of 220849321 is 123948022.

The square root of 220849321 is 14861.

It is a perfect power (a square), and thus also a powerful number.

220849321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 53509225 + 167340096 = 7315^2 + 12936^2 .

It is not a de Polignac number, because 220849321 - 2³ = 220849313 is a prime.

It is a super-2 number, since 2×220849321² = 97548845172322082, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220849351) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1144201 + ... + 1144393.

Almost surely, 2^220849321 is an apocalyptic number.

220849321 is the 14861-st square number.

220849321 is the 7431-st centered octagonal number.

It is an amenable number.

220849321 is a deficient number, since it is larger than the sum of its proper divisors (63006062).

220849321 is an equidigital number, since it uses as much as digits as its factorization.

220849321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The cubic root of 220849321 is about 604.4569231225.

It can be divided in two parts, 2208 and 49321, that added together give a square (51529 = 227²).

The spelling of 220849321 in words is "two hundred twenty million, eight hundred forty-nine thousand, three hundred twenty-one".