22404160 has 56 divisors (see below), whose sum is σ = 54397656. Its totient is φ = 8785920.

The previous prime is 22404149. The next prime is 22404209. The reversal of 22404160 is 6140422.

It can be written as a sum of positive squares in 4 ways, for example, as 9096256 + 13307904 = 3016^2 + 3648^2 .

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 7 ways as a sum of consecutive naturals, for example, 16300 + ... + 17620.

Almost surely, 2^22404160 is an apocalyptic number.

22404160 is a gapful number since it is divisible by the number (20) 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 22404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27198828).

22404160 is an abundant number, since it is smaller than the sum of its proper divisors (31993496).

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

22404160 is a wasteful number, since it uses less digits than its factorization.

22404160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 22404160 is about 4733.3032862896. The cubic root of 22404160 is about 281.9093986564.

Adding to 22404160 its reverse (6140422), we get a palindrome (28544582).

It can be divided in two parts, 2240 and 4160, that added together give a square (6400 = 80²).

The spelling of 22404160 in words is "twenty-two million, four hundred four thousand, one hundred sixty".