22420 has 24 divisors (see below), whose sum is σ = 50400. Its totient is φ = 8352.

The previous prime is 22409. The next prime is 22433. The reversal of 22420 is 2422.

22420 = T₃₇ + T₃₈ + ... + T₅₆.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a plaindrome in base 7 and base 15.

It is a junction number, because it is equal to n+sod(n) for n = 22397 and 22406.

It is a congruent number.

It is an unprimeable number.

22420 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 351 + ... + 409.

It is an arithmetic number, because the mean of its divisors is an integer number (2100).

2²²⁴²⁰ is an apocalyptic number.

22420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22420 is the 95-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25200).

22420 is an abundant number, since it is smaller than the sum of its proper divisors (27980).

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

22420 is a wasteful number, since it uses less digits than its factorization.

22420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 22420 is about 149.7330958740. The cubic root of 22420 is about 28.1975820739.

Adding to 22420 its reverse (2422), we get a palindrome (24842).

The spelling of 22420 in words is "twenty-two thousand, four hundred twenty", and thus it is an iban number.