220352080 has 40 divisors (see below), whose sum is σ = 551730312. Its totient is φ = 81360384.

The previous prime is 220352053. The next prime is 220352117. The reversal of 220352080 is 80253022.

It can be written as a sum of positive squares in 4 ways, for example, as 7744 + 220344336 = 88^2 + 14844^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104899 + ... + 106978.

Almost surely, 2^220352080 is an apocalyptic number.

220352080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220352080 is an abundant number, since it is smaller than the sum of its proper divisors (331378232).

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

220352080 is a wasteful number, since it uses less digits than its factorization.

220352080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211903 (or 211897 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 220352080 is about 14844.2608438413. The cubic root of 220352080 is about 604.0029384533.

The spelling of 220352080 in words is "two hundred twenty million, three hundred fifty-two thousand, eighty".