220149 has 12 divisors (see below), whose sum is σ = 324012. Its totient is φ = 144000.

The previous prime is 220147. The next prime is 220151. The reversal of 220149 is 941022.

It is an interprime number because it is at equal distance from previous prime (220147) and next prime (220151).

It can be written as a sum of positive squares in 2 ways, for example, as 119025 + 101124 = 345^2 + 318^2 .

It is not a de Polignac number, because 220149 - 2¹ = 220147 is a prime.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220141) 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 11 ways as a sum of consecutive naturals, for example, 349 + ... + 749.

It is an arithmetic number, because the mean of its divisors is an integer number (27001).

2²²⁰¹⁴⁹ is an apocalyptic number.

It is an amenable number.

220149 is a deficient number, since it is larger than the sum of its proper divisors (103863).

220149 is a wasteful number, since it uses less digits than its factorization.

220149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 220149 is about 469.2003836316. The cubic root of 220149 is about 60.3817328500.

The spelling of 220149 in words is "two hundred twenty thousand, one hundred forty-nine".