224333000 has 64 divisors (see below), whose sum is σ = 552614400. Its totient is φ = 85003200.

The previous prime is 224332963. The next prime is 224333023. The reversal of 224333000 is 333422.

224333000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 224333000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13097 + ... + 24903.

It is an arithmetic number, because the mean of its divisors is an integer number (8634600).

Almost surely, 2^224333000 is an apocalyptic number.

224333000 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 224333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276307200).

224333000 is an abundant number, since it is smaller than the sum of its proper divisors (328281400).

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

224333000 is a wasteful number, since it uses less digits than its factorization.

224333000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11847 (or 11833 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 224333000 is about 14977.7501648278. The cubic root of 224333000 is about 607.6185930249.

Adding to 224333000 its reverse (333422), we get a palindrome (224666422).

The spelling of 224333000 in words is "two hundred twenty-four million, three hundred thirty-three thousand".