224424200 has 384 divisors, whose sum is σ = 749952000. Its totient is φ = 60134400.

The previous prime is 224424199. The next prime is 224424209. The reversal of 224424200 is 2424422.

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 (224424209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3803771 + ... + 3803829.

It is an arithmetic number, because the mean of its divisors is an integer number (1953000).

Almost surely, 2^224424200 is an apocalyptic number.

224424200 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 224424200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374976000).

224424200 is an abundant number, since it is smaller than the sum of its proper divisors (525527800).

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

224424200 is a wasteful number, since it uses less digits than its factorization.

224424200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 116 counting only the distinct ones).

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

The square root of 224424200 is about 14980.7943714611. The cubic root of 224424200 is about 607.7009219852.

Adding to 224424200 its reverse (2424422), we get a palindrome (226848622).

It can be divided in two parts, 224 and 424200, that added together give a palindrome (424424).

The spelling of 224424200 in words is "two hundred twenty-four million, four hundred twenty-four thousand, two hundred".