22380 has 24 divisors (see below), whose sum is σ = 62832. Its totient is φ = 5952.

The previous prime is 22369. The next prime is 22381. The reversal of 22380 is 8322.

22380 is nontrivially palindromic in base 14.

22380 is digitally balanced in base 6, 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 (15).

22380 is strictly pandigital in base 6.

It is not an unprimeable number, because it can be changed into a prime (22381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127 + ... + 246.

It is an arithmetic number, because the mean of its divisors is an integer number (2618).

2²²³⁸⁰ is an apocalyptic number.

22380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22380 is an abundant number, since it is smaller than the sum of its proper divisors (40452).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31416).

22380 is a wasteful number, since it uses less digits than its factorization.

22380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 22380 is about 149.5994652397. The cubic root of 22380 is about 28.1808027888.

It can be divided in two parts, 223 and 80, that added together give a palindrome (303).

The spelling of 22380 in words is "twenty-two thousand, three hundred eighty".