22084000 has 48 divisors (see below), whose sum is σ = 54270216. Its totient is φ = 8832000.

The previous prime is 22083967. The next prime is 22084001. The reversal of 22084000 is 48022.

It can be written as a sum of positive squares in 4 ways, for example, as 4343056 + 17740944 = 2084^2 + 4212^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (22084001) 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 7 ways as a sum of consecutive naturals, for example, 1240 + ... + 6760.

Almost surely, 2^22084000 is an apocalyptic number.

22084000 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 22084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27135108).

22084000 is an abundant number, since it is smaller than the sum of its proper divisors (32186216).

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

22084000 is an equidigital number, since it uses as much as digits as its factorization.

22084000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5546 (or 5528 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 22084000 is about 4699.3616587788. The cubic root of 22084000 is about 280.5601033294.

The spelling of 22084000 in words is "twenty-two million, eighty-four thousand".