213423200 has 108 divisors (see below), whose sum is σ = 550628820. Its totient is φ = 80766720.

The previous prime is 213423167. The next prime is 213423229. The reversal of 213423200 is 2324312.

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 17 ways as a sum of consecutive naturals, for example, 288431 + ... + 289169.

It is an arithmetic number, because the mean of its divisors is an integer number (5098415).

Almost surely, 2^213423200 is an apocalyptic number.

213423200 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 213423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275314410).

213423200 is an abundant number, since it is smaller than the sum of its proper divisors (337205620).

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

213423200 is a wasteful number, since it uses less digits than its factorization.

213423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 765 counting only the distinct ones).

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

The square root of 213423200 is about 14609.0109179232. The cubic root of 213423200 is about 597.6045229514.

Adding to 213423200 its reverse (2324312), we get a palindrome (215747512).

It can be divided in two parts, 21342 and 3200, that added together give a palindrome (24542).

The spelling of 213423200 in words is "two hundred thirteen million, four hundred twenty-three thousand, two hundred".