224082800840 has 32 divisors (see below), whose sum is σ = 504226685880. Its totient is φ = 89625940992.

The previous prime is 224082800803. The next prime is 224082800891. The reversal of 224082800840 is 48008280422.

It is a happy number.

224082800840 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 4 ways, for example, as 75193317796 + 148889483044 = 274214^2 + 385862^2 .

It is a junction number, because it is equal to n+sod(n) for n = 224082800794 and 224082800803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 296192 + ... + 732048.

Almost surely, 2^224082800840 is an apocalyptic number.

224082800840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224082800840 is an abundant number, since it is smaller than the sum of its proper divisors (280143885040).

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

224082800840 is a wasteful number, since it uses less digits than its factorization.

224082800840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448721 (or 448717 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 38.

The spelling of 224082800840 in words is "two hundred twenty-four billion, eighty-two million, eight hundred thousand, eight hundred forty".