224021143200 has 144 divisors (see below), whose sum is σ = 732028147200. Its totient is φ = 59506360320.

The previous prime is 224021143193. The next prime is 224021143223. The reversal of 224021143200 is 2341120422.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435201 + ... + 798399.

It is an arithmetic number, because the mean of its divisors is an integer number (5083528800).

Almost surely, 2^224021143200 is an apocalyptic number.

224021143200 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 224021143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366014073600).

224021143200 is an abundant number, since it is smaller than the sum of its proper divisors (508007004000).

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

224021143200 is a wasteful number, since it uses less digits than its factorization.

224021143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363479 (or 363466 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 224021143200 its reverse (2341120422), we get a palindrome (226362263622).

The spelling of 224021143200 in words is "two hundred twenty-four billion, twenty-one million, one hundred forty-three thousand, two hundred".