224541200 has 120 divisors (see below), whose sum is σ = 601393800. Its totient is φ = 79994880.

The previous prime is 224541193. The next prime is 224541209. The reversal of 224541200 is 2145422.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 131148304 + 93392896 = 11452^2 + 9664^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (224541209) 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 23 ways as a sum of consecutive naturals, for example, 150056 + ... + 151544.

It is an arithmetic number, because the mean of its divisors is an integer number (5011615).

Almost surely, 2^224541200 is an apocalyptic number.

224541200 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 224541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300696900).

224541200 is an abundant number, since it is smaller than the sum of its proper divisors (376852600).

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

224541200 is a wasteful number, since it uses less digits than its factorization.

224541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 224541200 is about 14984.6988625064. The cubic root of 224541200 is about 607.8065087203.

Adding to 224541200 its reverse (2145422), we get a palindrome (226686622).

The spelling of 224541200 in words is "two hundred twenty-four million, five hundred forty-one thousand, two hundred".