22820 has 24 divisors (see below), whose sum is σ = 55104. Its totient is φ = 7776.

The previous prime is 22817. The next prime is 22853. The reversal of 22820 is 2822.

22820 is nontrivially palindromic in base 6.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a plaindrome in base 12.

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 22795 and 22804.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59 + ... + 221.

It is an arithmetic number, because the mean of its divisors is an integer number (2296).

2²²⁸²⁰ is an apocalyptic number.

22820 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 22820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27552).

22820 is an abundant number, since it is smaller than the sum of its proper divisors (32284).

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

22820 is a wasteful number, since it uses less digits than its factorization.

22820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 22820 is about 151.0629008063. The cubic root of 22820 is about 28.3642875849.

It can be divided in two parts, 228 and 20, that multiplied together give a triangular number (4560 = T₉₅).

The spelling of 22820 in words is "twenty-two thousand, eight hundred twenty".