224000 has 72 divisors (see below), whose sum is σ = 637728. Its totient is φ = 76800.

The previous prime is 223999. The next prime is 224011. The reversal of 224000 is 422.

224000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31997 + ... + 32003.

2²²⁴⁰⁰⁰ is an apocalyptic number.

224000 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 224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318864).

224000 is an abundant number, since it is smaller than the sum of its proper divisors (413728).

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

224000 is an frugal number, since it uses more digits than its factorization.

224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 224000 is about 473.2863826480. The cubic root of 224000 is about 60.7317794375.

Adding to 224000 its reverse (422), we get a palindrome (224422).

The spelling of 224000 in words is "two hundred twenty-four thousand", and thus it is an iban number.