19220 has 18 divisors (see below), whose sum is σ = 41706. Its totient is φ = 7440.

The previous prime is 19219. The next prime is 19231. The reversal of 19220 is 2291.

It can be written as a sum of positive squares in only one way, i.e., 15376 + 3844 = 124^2 + 62^2 .

It is a junction number, because it is equal to n+sod(n) for n = 19195 and 19204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 605 + ... + 635.

It is an arithmetic number, because the mean of its divisors is an integer number (2317).

2¹⁹²²⁰ is an apocalyptic number.

19220 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 19220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20853).

19220 is an abundant number, since it is smaller than the sum of its proper divisors (22486).

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

19220 is a wasteful number, since it uses less digits than its factorization.

19220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 19220 is about 138.6362146050. The cubic root of 19220 is about 26.7866124567.

It can be divided in two parts, 192 and 20, that added together give a palindrome (212).

The spelling of 19220 in words is "nineteen thousand, two hundred twenty".