224328000 has 224 divisors, whose sum is σ = 798819840. Its totient is φ = 55142400.

The previous prime is 224327989. The next prime is 224328019. The reversal of 224328000 is 823422.

224328000 = T₇₀₅₆ + T₇₀₅₇ + ... + T₇₀₆₄.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311641 + ... + 312359.

It is an arithmetic number, because the mean of its divisors is an integer number (3566160).

Almost surely, 2^224328000 is an apocalyptic number.

224328000 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 224328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399409920).

224328000 is an abundant number, since it is smaller than the sum of its proper divisors (574491840).

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

224328000 is a wasteful number, since it uses less digits than its factorization.

224328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 224328000 is about 14977.5832496434. The cubic root of 224328000 is about 607.6140787306.

The spelling of 224328000 in words is "two hundred twenty-four million, three hundred twenty-eight thousand".