22369824 has 96 divisors (see below), whose sum is σ = 69128640. Its totient is φ = 7013376.

The previous prime is 22369801. The next prime is 22369829. The reversal of 22369824 is 42896322.

It is a tau number, because it is divible by the number of its divisors (96).

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 not an unprimeable number, because it can be changed into a prime (22369829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13927 + ... + 15449.

It is an arithmetic number, because the mean of its divisors is an integer number (720090).

Almost surely, 2^22369824 is an apocalyptic number.

22369824 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 22369824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34564320).

22369824 is an abundant number, since it is smaller than the sum of its proper divisors (46758816).

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

22369824 is a wasteful number, since it uses less digits than its factorization.

22369824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1545 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 22369824 is about 4729.6748302605. The cubic root of 22369824 is about 281.7653094896.

The spelling of 22369824 in words is "twenty-two million, three hundred sixty-nine thousand, eight hundred twenty-four".