224533000 has 64 divisors (see below), whose sum is σ = 542430720. Its totient is φ = 86904000.

The previous prime is 224532967. The next prime is 224533007. The reversal of 224533000 is 335422.

It is not an unprimeable number, because it can be changed into a prime (224533007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27379 + ... + 34621.

It is an arithmetic number, because the mean of its divisors is an integer number (8475480).

Almost surely, 2^224533000 is an apocalyptic number.

224533000 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 224533000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271215360).

224533000 is an abundant number, since it is smaller than the sum of its proper divisors (317897720).

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

224533000 is a wasteful number, since it uses less digits than its factorization.

224533000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7295 (or 7281 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 224533000 is about 14984.4252475696. The cubic root of 224533000 is about 607.7991098197.

Adding to 224533000 its reverse (335422), we get a palindrome (224868422).

It can be divided in two parts, 2245 and 33000, that added together give a triangular number (35245 = T₂₆₅).

The spelling of 224533000 in words is "two hundred twenty-four million, five hundred thirty-three thousand".