224200 has 48 divisors (see below), whose sum is σ = 558000. Its totient is φ = 83520.

The previous prime is 224197. The next prime is 224201. The reversal of 224200 is 2422.

224200 = T₅₆ + T₅₇ + ... + T₁₁₄.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a plaindrome in base 15.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (224201) 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, 3771 + ... + 3829.

It is an arithmetic number, because the mean of its divisors is an integer number (11625).

2²²⁴²⁰⁰ is an apocalyptic number.

224200 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 224200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279000).

224200 is an abundant number, since it is smaller than the sum of its proper divisors (333800).

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

224200 is a wasteful number, since it uses less digits than its factorization.

224200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 224200 is about 473.4976240701. The cubic root of 224200 is about 60.7498489951.

Adding to 224200 its reverse (2422), we get a palindrome (226622).

It can be divided in two parts, 224 and 200, that added together give a palindrome (424).

The spelling of 224200 in words is "two hundred twenty-four thousand, two hundred", and thus it is an iban number.