22181824 has 56 divisors (see below), whose sum is σ = 51125120. Its totient is φ = 9351936.

The previous prime is 22181813. The next prime is 22181879. The reversal of 22181824 is 42818122.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22181792 and 22181801.

It is a congruent number.

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, 29647 + ... + 30385.

Almost surely, 2^22181824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22181824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25562560).

22181824 is an abundant number, since it is smaller than the sum of its proper divisors (28943296).

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

22181824 is an equidigital number, since it uses as much as digits as its factorization.

22181824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 815 counting only the distinct ones).

The product of its digits is 2048, while the sum is 28.

The square root of 22181824 is about 4709.7583802144. The cubic root of 22181824 is about 280.9737525245.

Adding to 22181824 its reverse (42818122), we get a palindrome (64999946).

It can be divided in two parts, 22181 and 824, that added together give a triangular number (23005 = T₂₁₄).

The spelling of 22181824 in words is "twenty-two million, one hundred eighty-one thousand, eight hundred twenty-four".