22446432 has 72 divisors (see below), whose sum is σ = 64963080. Its totient is φ = 7349760.

The previous prime is 22446379. The next prime is 22446439. The reversal of 22446432 is 23464422.

22446432 is a `hidden beast` number, since 224 + 4 + 6 + 432 = 666.

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

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 = 22446396 and 22446405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22446439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16332 + ... + 17652.

It is an arithmetic number, because the mean of its divisors is an integer number (902265).

Almost surely, 2^22446432 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 22446432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32481540).

22446432 is an abundant number, since it is smaller than the sum of its proper divisors (42516648).

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

22446432 is a wasteful number, since it uses less digits than its factorization.

22446432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1385 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 22446432 is about 4737.7665624216. The cubic root of 22446432 is about 282.0865887714.

It can be divided in two parts, 224 and 46432, that added together give a 6-th power (46656 = 6⁶).

The spelling of 22446432 in words is "twenty-two million, four hundred forty-six thousand, four hundred thirty-two".