22213824 has 56 divisors (see below), whose sum is σ = 59301888. Its totient is φ = 7338240.

The previous prime is 22213823. The next prime is 22213847. The reversal of 22213824 is 42831222.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 22213794 and 22213803.

It is not an unprimeable number, because it can be changed into a prime (22213823) 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, 23929 + ... + 24839.

Almost surely, 2^22213824 is an apocalyptic number.

22213824 is a gapful number since it is divisible by the number (24) 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 22213824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29650944).

22213824 is an abundant number, since it is smaller than the sum of its proper divisors (37088064).

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

22213824 is a wasteful number, since it uses less digits than its factorization.

22213824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1043 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 22213824 is about 4713.1543577524. The cubic root of 22213824 is about 281.1088006300.

The spelling of 22213824 in words is "twenty-two million, two hundred thirteen thousand, eight hundred twenty-four".