209220 has 48 divisors (see below), whose sum is σ = 641088. Its totient is φ = 50560.

The previous prime is 209213. The next prime is 209221. The reversal of 209220 is 22902.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 209220.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 209220.

It is not an unprimeable number, because it can be changed into a prime (209221) by changing a digit.

209220 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 502 + ... + 818.

It is an arithmetic number, because the mean of its divisors is an integer number (13356).

2²⁰⁹²²⁰ is an apocalyptic number.

209220 is a gapful number since it is divisible by the number (20) 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 209220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320544).

209220 is an abundant number, since it is smaller than the sum of its proper divisors (431868).

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

209220 is a wasteful number, since it uses less digits than its factorization.

209220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 209220 is about 457.4057279921. The cubic root of 209220 is about 59.3655368113.

It can be divided in two parts, 2092 and 20, that added together give a palindrome (2112).

The spelling of 209220 in words is "two hundred nine thousand, two hundred twenty".