21822432 has 48 divisors (see below), whose sum is σ = 58378320. Its totient is φ = 7135232.

The previous prime is 21822421. The next prime is 21822439. The reversal of 21822432 is 23422812.

It is a tau number, because it is divible by the number of its divisors (48).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (21822439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2944 + ... + 7232.

It is an arithmetic number, because the mean of its divisors is an integer number (1216215).

Almost surely, 2^21822432 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 21822432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29189160).

21822432 is an abundant number, since it is smaller than the sum of its proper divisors (36555888).

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

21822432 is a wasteful number, since it uses less digits than its factorization.

21822432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4355 (or 4347 counting only the distinct ones).

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

The square root of 21822432 is about 4671.4485975980. The cubic root of 21822432 is about 279.4480282441.

The spelling of 21822432 in words is "twenty-one million, eight hundred twenty-two thousand, four hundred thirty-two".