220480000 has 200 divisors, whose sum is σ = 604016028. Its totient is φ = 79872000.

The previous prime is 220479989. The next prime is 220480031. The reversal of 220480000 is 84022.

It can be written as a sum of positive squares in 10 ways, for example, as 28047616 + 192432384 = 5296^2 + 13872^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×220480000² = 97222860800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4159974 + ... + 4160026.

Almost surely, 2^220480000 is an apocalyptic number.

220480000 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 220480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302008014).

220480000 is an abundant number, since it is smaller than the sum of its proper divisors (383536028).

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

220480000 is an frugal number, since it uses more digits than its factorization.

220480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 220480000 is about 14848.5689546165. The cubic root of 220480000 is about 604.1197955447.

It can be divided in two parts, 2 and 20480000, that multiplied together give a 4-th power (40960000 = 80⁴).

The spelling of 220480000 in words is "two hundred twenty million, four hundred eighty thousand".