220286304 has 336 divisors, whose sum is σ = 793255680. Its totient is φ = 58786560.

The previous prime is 220286299. The next prime is 220286309. The reversal of 220286304 is 403682022.

220286304 is a `hidden beast` number, since 2 + 2 + 0 + 28 + 630 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (220286299) and next prime (220286309).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220286309) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 3102589 + ... + 3102659.

It is an arithmetic number, because the mean of its divisors is an integer number (2360880).

Almost surely, 2^220286304 is an apocalyptic number.

220286304 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 220286304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396627840).

220286304 is an abundant number, since it is smaller than the sum of its proper divisors (572969376).

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

220286304 is an equidigital number, since it uses as much as digits as its factorization.

220286304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 220286304 is about 14842.0451420955. The cubic root of 220286304 is about 603.9428333539.

The spelling of 220286304 in words is "two hundred twenty million, two hundred eighty-six thousand, three hundred four".