224384000 has 88 divisors (see below), whose sum is σ = 560108328. Its totient is φ = 89702400.

The previous prime is 224383993. The next prime is 224384009. The reversal of 224384000 is 483422.

It can be written as a sum of positive squares in 4 ways, for example, as 55591936 + 168792064 = 7456^2 + 12992^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224384009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127124 + ... + 128876.

Almost surely, 2^224384000 is an apocalyptic number.

224384000 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 224384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280054164).

224384000 is an abundant number, since it is smaller than the sum of its proper divisors (335724328).

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

224384000 is an equidigital number, since it uses as much as digits as its factorization.

224384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 224384000 is about 14979.4525934695. The cubic root of 224384000 is about 607.6646349956.

The spelling of 224384000 in words is "two hundred twenty-four million, three hundred eighty-four thousand".