22400442 has 32 divisors (see below), whose sum is σ = 50232960. Its totient is φ = 7398720.

The previous prime is 22400431. The next prime is 22400447. The reversal of 22400442 is 24400422.

22400442 is a `hidden beast` number, since 224 + 0 + 0 + 442 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22400447) 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, 4267 + ... + 7937.

It is an arithmetic number, because the mean of its divisors is an integer number (1569780).

Almost surely, 2^22400442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22400442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25116480).

22400442 is an abundant number, since it is smaller than the sum of its proper divisors (27832518).

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

22400442 is a wasteful number, since it uses less digits than its factorization.

22400442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795 (or 3789 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 22400442 is about 4732.9105210219. The cubic root of 22400442 is about 281.8938033811.

Adding to 22400442 its reverse (24400422), we get a palindrome (46800864).

The spelling of 22400442 in words is "twenty-two million, four hundred thousand, four hundred forty-two".