220024480 has 144 divisors (see below), whose sum is σ = 575527680. Its totient is φ = 79432704.

The previous prime is 220024477. The next prime is 220024501. The reversal of 220024480 is 84420022.

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 23 ways as a sum of consecutive naturals, for example, 2136109 + ... + 2136211.

It is an arithmetic number, because the mean of its divisors is an integer number (3996720).

Almost surely, 2^220024480 is an apocalyptic number.

220024480 is a gapful number since it is divisible by the number (20) 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 220024480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287763840).

220024480 is an abundant number, since it is smaller than the sum of its proper divisors (355503200).

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

220024480 is a wasteful number, since it uses less digits than its factorization.

220024480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 220024480 is about 14833.2221718681. Note that the first 3 decimals coincide. The cubic root of 220024480 is about 603.7034639291.

The spelling of 220024480 in words is "two hundred twenty million, twenty-four thousand, four hundred eighty".