213344000 has 144 divisors (see below), whose sum is σ = 545257440. Its totient is φ = 83148800.

The previous prime is 213343997. The next prime is 213344029. The reversal of 213344000 is 443312.

213344000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 213344000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1887944 + ... + 1888056.

It is an arithmetic number, because the mean of its divisors is an integer number (3786510).

Almost surely, 2^213344000 is an apocalyptic number.

213344000 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 213344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272628720).

213344000 is an abundant number, since it is smaller than the sum of its proper divisors (331913440).

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

213344000 is an equidigital number, since it uses as much as digits as its factorization.

213344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 213344000 is about 14606.3000106119. The cubic root of 213344000 is about 597.5305913855.

Adding to 213344000 its reverse (443312), we get a palindrome (213787312).

The spelling of 213344000 in words is "two hundred thirteen million, three hundred forty-four thousand".