224800 has 36 divisors (see below), whose sum is σ = 550746. Its totient is φ = 89600.

The previous prime is 224797. The next prime is 224813. The reversal of 224800 is 8422.

224800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 183184 + 41616 = 428^2 + 204^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 660 + ... + 940.

2²²⁴⁸⁰⁰ is an apocalyptic number.

224800 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 224800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275373).

224800 is an abundant number, since it is smaller than the sum of its proper divisors (325946).

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

224800 is a wasteful number, since it uses less digits than its factorization.

224800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 224800 is about 474.1307836452. The cubic root of 224800 is about 60.8039932742.

It can be divided in two parts, 224 and 800, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 224800 in words is "two hundred twenty-four thousand, eight hundred".