224244400 has 60 divisors (see below), whose sum is σ = 544887000. Its totient is φ = 88675840.

The previous prime is 224244353. The next prime is 224244407. The reversal of 224244400 is 4442422.

It is not an unprimeable number, because it can be changed into a prime (224244407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32451 + ... + 38749.

It is an arithmetic number, because the mean of its divisors is an integer number (9081450).

Almost surely, 2^224244400 is an apocalyptic number.

224244400 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 224244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272443500).

224244400 is an abundant number, since it is smaller than the sum of its proper divisors (320642600).

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

224244400 is a wasteful number, since it uses less digits than its factorization.

224244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6406 (or 6395 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 224244400 is about 14974.7921521469. The cubic root of 224244400 is about 607.5385897912.

Adding to 224244400 its reverse (4442422), we get a palindrome (228686822).

The spelling of 224244400 in words is "two hundred twenty-four million, two hundred forty-four thousand, four hundred".