22821984 has 72 divisors (see below), whose sum is σ = 65585520. Its totient is φ = 7527168.

The previous prime is 22821947. The next prime is 22822013. The reversal of 22821984 is 48912822.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 31029 + ... + 31755.

It is an arithmetic number, because the mean of its divisors is an integer number (910910).

Almost surely, 2^22821984 is an apocalyptic number.

22821984 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 22821984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32792760).

22821984 is an abundant number, since it is smaller than the sum of its proper divisors (42763536).

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

22821984 is a wasteful number, since it uses less digits than its factorization.

22821984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 841 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 22821984 is about 4777.2360209644. The cubic root of 22821984 is about 283.6510957024.

The spelling of 22821984 in words is "twenty-two million, eight hundred twenty-one thousand, nine hundred eighty-four".