224409801800 has 324 divisors, whose sum is σ = 577848273435. Its totient is φ = 81035942400.

The previous prime is 224409801787. The next prime is 224409801821. The reversal of 224409801800 is 8108904422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

224409801800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 1412406724 + 222997395076 = 37582^2 + 472226^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=334970.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5218832579 + ... + 5218832621.

Almost surely, 2^224409801800 is an apocalyptic number.

224409801800 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 224409801800

224409801800 is an abundant number, since it is smaller than the sum of its proper divisors (353438471635).

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

224409801800 is a wasteful number, since it uses less digits than its factorization.

224409801800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The spelling of 224409801800 in words is "two hundred twenty-four billion, four hundred nine million, eight hundred one thousand, eight hundred".