220802260224 has 720 divisors, whose sum is σ = 755365792384. Its totient is φ = 56899584000.

The previous prime is 220802260223. The next prime is 220802260253. The reversal of 220802260224 is 422062208022.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 220802260191 and 220802260200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220802260223) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1462266549 + ... + 1462266699.

Almost surely, 2^220802260224 is an apocalyptic number.

220802260224 is a gapful number since it is divisible by the number (24) 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 220802260224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377682896192).

220802260224 is an abundant number, since it is smaller than the sum of its proper divisors (534563532160).

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

220802260224 is an equidigital number, since it uses as much as digits as its factorization.

220802260224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 220802260224 its reverse (422062208022), we get a palindrome (642864468246).

The spelling of 220802260224 in words is "two hundred twenty billion, eight hundred two million, two hundred sixty thousand, two hundred twenty-four".