224432000 has 192 divisors, whose sum is σ = 611498160. Its totient is φ = 81868800.

The previous prime is 224431937. The next prime is 224432023. The reversal of 224432000 is 234422.

It is a self number, because there is not a number n which added to its sum of digits gives 224432000.

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 23 ways as a sum of consecutive naturals, for example, 2703959 + ... + 2704041.

Almost surely, 2^224432000 is an apocalyptic number.

224432000 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 224432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305749080).

224432000 is an abundant number, since it is smaller than the sum of its proper divisors (387066160).

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

224432000 is an equidigital number, since it uses as much as digits as its factorization.

224432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 103 counting only the distinct ones).

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

The square root of 224432000 is about 14981.0547025235. The cubic root of 224432000 is about 607.7079622424.

Adding to 224432000 its reverse (234422), we get a palindrome (224666422).

The spelling of 224432000 in words is "two hundred twenty-four million, four hundred thirty-two thousand".