224900 has 36 divisors (see below), whose sum is σ = 528612. Its totient is φ = 82560.

The previous prime is 224897. The next prime is 224909. The reversal of 224900 is 9422.

224900 is digitally balanced in base 2, 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 6 ways, for example, as 2116 + 222784 = 46^2 + 472^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1214 + ... + 1386.

2²²⁴⁹⁰⁰ is an apocalyptic number.

224900 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 224900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264306).

224900 is an abundant number, since it is smaller than the sum of its proper divisors (303712).

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

224900 is a wasteful number, since it uses less digits than its factorization.

224900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 224900 is about 474.2362280552. The cubic root of 224900 is about 60.8130079509.

The spelling of 224900 in words is "two hundred twenty-four thousand, nine hundred".