224040200 has 48 divisors (see below), whose sum is σ = 524706000. Its totient is φ = 88960320.

The previous prime is 224040181. The next prime is 224040209. The reversal of 224040200 is 2040422.

It is a happy number.

It is a super-2 number, since 2×224040200² = 100388022432080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (224040209) 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, 23771 + ... + 31829.

It is an arithmetic number, because the mean of its divisors is an integer number (10931375).

Almost surely, 2^224040200 is an apocalyptic number.

224040200 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 224040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262353000).

224040200 is an abundant number, since it is smaller than the sum of its proper divisors (300665800).

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

224040200 is a wasteful number, since it uses less digits than its factorization.

224040200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8214 (or 8205 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 224040200 is about 14967.9724745872. The cubic root of 224040200 is about 607.3541228201.

Adding to 224040200 its reverse (2040422), we get a palindrome (226080622).

The spelling of 224040200 in words is "two hundred twenty-four million, forty thousand, two hundred".