224422400 has 120 divisors (see below), whose sum is σ = 565125660. Its totient is φ = 88309760.

The previous prime is 224422399. The next prime is 224422403. The reversal of 224422400 is 4224422.

It can be written as a sum of positive squares in 6 ways, for example, as 115261696 + 109160704 = 10736^2 + 10448^2 .

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

It is not an unprimeable number, because it can be changed into a prime (224422403) 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, 1139102 + ... + 1139298.

Almost surely, 2^224422400 is an apocalyptic number.

224422400 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 224422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282562830).

224422400 is an abundant number, since it is smaller than the sum of its proper divisors (340703260).

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

224422400 is an equidigital number, since it uses as much as digits as its factorization.

224422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 293 counting only the distinct ones).

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

The square root of 224422400 is about 14980.7342944196. The cubic root of 224422400 is about 607.6992972873.

Adding to 224422400 its reverse (4224422), we get a palindrome (228646822).

It can be divided in two parts, 22442 and 2400, that added together give a palindrome (24842).

The spelling of 224422400 in words is "two hundred twenty-four million, four hundred twenty-two thousand, four hundred".