219000 has 64 divisors (see below), whose sum is σ = 692640. Its totient is φ = 57600.

The previous prime is 218993. The next prime is 219001. The reversal of 219000 is 912.

It is a happy number.

219000 is nontrivially palindromic in base 9.

It is a super-2 number, since 2×219000² = 95922000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2964 + ... + 3036.

2²¹⁹⁰⁰⁰ is an apocalyptic number.

219000 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 219000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346320).

219000 is an abundant number, since it is smaller than the sum of its proper divisors (473640).

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

219000 is a wasteful number, since it uses less digits than its factorization.

219000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 219000 is about 467.9743582719. The cubic root of 219000 is about 60.2765016015.

Adding to 219000 its reverse (912), we get a palindrome (219912).

The spelling of 219000 in words is "two hundred nineteen thousand".