224500 has 24 divisors (see below), whose sum is σ = 491400. Its totient is φ = 89600.

The previous prime is 224491. The next prime is 224501. The reversal of 224500 is 5422.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5476 + 219024 = 74^2 + 468^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276 + ... + 724.

It is an arithmetic number, because the mean of its divisors is an integer number (20475).

2²²⁴⁵⁰⁰ is an apocalyptic number.

224500 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 224500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245700).

224500 is an abundant number, since it is smaller than the sum of its proper divisors (266900).

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

224500 is a wasteful number, since it uses less digits than its factorization.

224500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 224500 is about 473.8143096193. The cubic root of 224500 is about 60.7769331935.

Adding to 224500 its reverse (5422), we get a palindrome (229922).

The spelling of 224500 in words is "two hundred twenty-four thousand, five hundred".