224422000 has 120 divisors (see below), whose sum is σ = 597903696. Its totient is φ = 80800000.

The previous prime is 224421997. The next prime is 224422019. The reversal of 224422000 is 224422.

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

It is a zygodrome in base 10.

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 23 ways as a sum of consecutive naturals, for example, 2221950 + ... + 2222050.

Almost surely, 2^224422000 is an apocalyptic number.

224422000 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 224422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298951848).

224422000 is an abundant number, since it is smaller than the sum of its proper divisors (373481696).

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

224422000 is a wasteful number, since it uses less digits than its factorization.

224422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 119 counting only the distinct ones).

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

The square root of 224422000 is about 14980.7209439332. The cubic root of 224422000 is about 607.6989362421.

Adding to 224422000 its reverse (224422), we get a palindrome (224646422).

224422000 divided by its reverse (224422) gives a cube (1000 = 10³).

It can be divided in two parts, 22442 and 2000, that added together give a palindrome (24442).

The spelling of 224422000 in words is "two hundred twenty-four million, four hundred twenty-two thousand".