220348800 has 288 divisors, whose sum is σ = 899399280. Its totient is φ = 50319360.

The previous prime is 220348769. The next prime is 220348811. The reversal of 220348800 is 8843022.

220348800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×220348800² = 97107187322880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 201054 + ... + 202146.

Almost surely, 2^220348800 is an apocalyptic number.

220348800 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 220348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449699640).

220348800 is an abundant number, since it is smaller than the sum of its proper divisors (679050480).

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

220348800 is a wasteful number, since it uses less digits than its factorization.

220348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 220348800 is about 14844.1503630218. The cubic root of 220348800 is about 603.9999415230. Note that the first 4 decimals are identical.

The spelling of 220348800 in words is "two hundred twenty million, three hundred forty-eight thousand, eight hundred".