198220 has 48 divisors (see below), whose sum is σ = 489888. Its totient is φ = 66560.

The previous prime is 198197. The next prime is 198221. The reversal of 198220 is 22891.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 198191 and 198200.

It is not an unprimeable number, because it can be changed into a prime (198221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3714 + ... + 3766.

It is an arithmetic number, because the mean of its divisors is an integer number (10206).

2¹⁹⁸²²⁰ is an apocalyptic number.

198220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244944).

198220 is an abundant number, since it is smaller than the sum of its proper divisors (291668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

198220 is a wasteful number, since it uses less digits than its factorization.

198220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 198220 is about 445.2190472116. The cubic root of 198220 is about 58.3063457930.

It can be divided in two parts, 1982 and 20, that added together give a palindrome (2002).

The spelling of 198220 in words is "one hundred ninety-eight thousand, two hundred twenty".