224430200 has 48 divisors (see below), whose sum is σ = 524799000. Its totient is φ = 89256320.

The previous prime is 224430191. The next prime is 224430221. The reversal of 224430200 is 2034422.

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 11 ways as a sum of consecutive naturals, for example, 32666 + ... + 38934.

Almost surely, 2^224430200 is an apocalyptic number.

224430200 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 224430200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262399500).

224430200 is an abundant number, since it is smaller than the sum of its proper divisors (300368800).

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

224430200 is a wasteful number, since it uses less digits than its factorization.

224430200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6464 (or 6455 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 224430200 is about 14980.9946265260. The cubic root of 224430200 is about 607.7063375822.

Adding to 224430200 its reverse (2034422), we get a palindrome (226464622).

The spelling of 224430200 in words is "two hundred twenty-four million, four hundred thirty thousand, two hundred".