219800 has 48 divisors (see below), whose sum is σ = 587760. Its totient is φ = 74880.

The previous prime is 219799. The next prime is 219809. The reversal of 219800 is 8912.

219800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1322 + ... + 1478.

It is an arithmetic number, because the mean of its divisors is an integer number (12245).

2²¹⁹⁸⁰⁰ is an apocalyptic number.

219800 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 219800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293880).

219800 is an abundant number, since it is smaller than the sum of its proper divisors (367960).

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

219800 is a wasteful number, since it uses less digits than its factorization.

219800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 219800 is about 468.8283267892. The cubic root of 219800 is about 60.3498084559.

The spelling of 219800 in words is "two hundred nineteen thousand, eight hundred".