224640220440 has 64 divisors (see below), whose sum is σ = 682040217600. Its totient is φ = 59182320512.

The previous prime is 224640220381. The next prime is 224640220487. The reversal of 224640220440 is 44022046422.

224640220440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 224640220398 and 224640220407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11267160 + ... + 11287079.

It is an arithmetic number, because the mean of its divisors is an integer number (10656878400).

Almost surely, 2^224640220440 is an apocalyptic number.

224640220440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224640220440 is an abundant number, since it is smaller than the sum of its proper divisors (457399997160).

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

224640220440 is a wasteful number, since it uses less digits than its factorization.

224640220440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22554336 (or 22554332 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 224640220440 its reverse (44022046422), we get a palindrome (268662266862).

The spelling of 224640220440 in words is "two hundred twenty-four billion, six hundred forty million, two hundred twenty thousand, four hundred forty".