224444000 has 96 divisors (see below), whose sum is σ = 601709472. Its totient is φ = 81600000.

The previous prime is 224443997. The next prime is 224444039. The reversal of 224444000 is 444422.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41450 + ... + 46550.

It is an arithmetic number, because the mean of its divisors is an integer number (6267807).

Almost surely, 2^224444000 is an apocalyptic number.

224444000 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 224444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300854736).

224444000 is an abundant number, since it is smaller than the sum of its proper divisors (377265472).

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

224444000 is a wasteful number, since it uses less digits than its factorization.

224444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5137 (or 5119 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 224444000 is about 14981.4552030168. The cubic root of 224444000 is about 607.7187930889.

Adding to 224444000 its reverse (444422), we get a palindrome (224888422).

The spelling of 224444000 in words is "two hundred twenty-four million, four hundred forty-four thousand".