224004065800 has 96 divisors (see below), whose sum is σ = 542259433800. Its totient is φ = 85982976000.

The previous prime is 224004065777. The next prime is 224004065827. The reversal of 224004065800 is 8560400422.

It can be written as a sum of positive squares in 12 ways, for example, as 68299640964 + 155704424836 = 261342^2 + 394594^2 .

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, 276286 + ... + 724114.

Almost surely, 2^224004065800 is an apocalyptic number.

224004065800 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 224004065800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271129716900).

224004065800 is an abundant number, since it is smaller than the sum of its proper divisors (318255368000).

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

224004065800 is a wasteful number, since it uses less digits than its factorization.

224004065800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447947 (or 447938 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The spelling of 224004065800 in words is "two hundred twenty-four billion, four million, sixty-five thousand, eight hundred".