422224000 has 128 divisors (see below), whose sum is σ = 1145664000. Its totient is φ = 153472000.

The previous prime is 422223961. The next prime is 422224013. The reversal of 422224000 is 422224.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174801 + ... + 177199.

It is an arithmetic number, because the mean of its divisors is an integer number (8950500).

Almost surely, 2^422224000 is an apocalyptic number.

422224000 is a gapful number since it is divisible by the number (40) 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 422224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572832000).

422224000 is an abundant number, since it is smaller than the sum of its proper divisors (723440000).

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

422224000 is a wasteful number, since it uses less digits than its factorization.

422224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 422224000 is about 20548.0899355634. The cubic root of 422224000 is about 750.2067578112.

Adding to 422224000 its reverse (422224), we get a palindrome (422646224).

422224000 divided by its reverse (422224) gives a cube (1000 = 10³).

It can be divided in two parts, 422 and 224000, that added together give a palindrome (224422).

The spelling of 422224000 in words is "four hundred twenty-two million, two hundred twenty-four thousand".