224002220024 has 64 divisors (see below), whose sum is σ = 464257059840. Its totient is φ = 100473064960.

The previous prime is 224002219999. The next prime is 224002220069. The reversal of 224002220024 is 420022200422.

It is a junction number, because it is equal to n+sod(n) for n = 224002219978 and 224002220005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6285584 + ... + 6321120.

It is an arithmetic number, because the mean of its divisors is an integer number (7254016560).

Almost surely, 2^224002220024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224002220024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232128529920).

224002220024 is an abundant number, since it is smaller than the sum of its proper divisors (240254839816).

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

224002220024 is a wasteful number, since it uses less digits than its factorization.

224002220024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36500 (or 36496 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 224002220024 its reverse (420022200422), we get a palindrome (644024420446).

The spelling of 224002220024 in words is "two hundred twenty-four billion, two million, two hundred twenty thousand, twenty-four".