220224405504 has 120 divisors (see below), whose sum is σ = 588392562688. Its totient is φ = 73264988160.

The previous prime is 220224405491. The next prime is 220224405517. The reversal of 220224405504 is 405504422022.

It is an interprime number because it is at equal distance from previous prime (220224405491) and next prime (220224405517).

It is a congruent number.

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, 26882049 + ... + 26890239.

Almost surely, 2^220224405504 is an apocalyptic number.

220224405504 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 220224405504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294196281344).

220224405504 is an abundant number, since it is smaller than the sum of its proper divisors (368168157184).

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

220224405504 is an frugal number, since it uses more digits than its factorization.

220224405504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8769 (or 8743 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

Adding to 220224405504 its reverse (405504422022), we get a palindrome (625728827526).

The spelling of 220224405504 in words is "two hundred twenty billion, two hundred twenty-four million, four hundred five thousand, five hundred four".