224145200 has 60 divisors (see below), whose sum is σ = 541081440. Its totient is φ = 89230080.

The previous prime is 224145191. The next prime is 224145203. The reversal of 224145200 is 2541422.

It is a happy number.

224145200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (224145203) 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, 90377 + ... + 92823.

It is an arithmetic number, because the mean of its divisors is an integer number (9018024).

Almost surely, 2^224145200 is an apocalyptic number.

224145200 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 224145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270540720).

224145200 is an abundant number, since it is smaller than the sum of its proper divisors (316936240).

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

224145200 is a wasteful number, since it uses less digits than its factorization.

224145200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2694 (or 2683 counting only the distinct ones).

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

The square root of 224145200 is about 14971.4795528031. The cubic root of 224145200 is about 607.4489900550.

Adding to 224145200 its reverse (2541422), we get a palindrome (226686622).

The spelling of 224145200 in words is "two hundred twenty-four million, one hundred forty-five thousand, two hundred".