219808000 has 72 divisors (see below), whose sum is σ = 547648920. Its totient is φ = 87910400.

The previous prime is 219807997. The next prime is 219808021. The reversal of 219808000 is 808912.

219808000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 59228416 + 160579584 = 7696^2 + 12672^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 219808000.

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 7 ways as a sum of consecutive naturals, for example, 28566 + ... + 35434.

It is an arithmetic number, because the mean of its divisors is an integer number (7606235).

Almost surely, 2^219808000 is an apocalyptic number.

219808000 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 219808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273824460).

219808000 is an abundant number, since it is smaller than the sum of its proper divisors (327840920).

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

219808000 is an frugal number, since it uses more digits than its factorization.

219808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6900 (or 6876 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 219808000 is about 14825.9232427529. The cubic root of 219808000 is about 603.5054062543.

The spelling of 219808000 in words is "two hundred nineteen million, eight hundred eight thousand".