224004200 has 144 divisors (see below), whose sum is σ = 619201440. Its totient is φ = 73785600.

The previous prime is 224004181. The next prime is 224004211. The reversal of 224004200 is 2400422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3672170 + ... + 3672230.

It is an arithmetic number, because the mean of its divisors is an integer number (4300010).

Almost surely, 2^224004200 is an apocalyptic number.

224004200 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 224004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309600720).

224004200 is an abundant number, since it is smaller than the sum of its proper divisors (395197240).

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

224004200 is a wasteful number, since it uses less digits than its factorization.

224004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 118 counting only the distinct ones).

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

The square root of 224004200 is about 14966.7698585901. The cubic root of 224004200 is about 607.3215900876.

Adding to 224004200 its reverse (2400422), we get a palindrome (226404622).

The spelling of 224004200 in words is "two hundred twenty-four million, four thousand, two hundred".