213333200 has 60 divisors (see below), whose sum is σ = 514892268. Its totient is φ = 84940800.

The previous prime is 213333199. The next prime is 213333217. The reversal of 213333200 is 2333312.

213333200 is digitally balanced in base 2, 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 6 ways, for example, as 23775376 + 189557824 = 4876^2 + 13768^2 .

It is a super-2 number, since 2×213333200² = 91022108444480000, 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 11 ways as a sum of consecutive naturals, for example, 95294 + ... + 97506.

Almost surely, 2^213333200 is an apocalyptic number.

213333200 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 213333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257446134).

213333200 is an abundant number, since it is smaller than the sum of its proper divisors (301559068).

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

213333200 is a wasteful number, since it uses less digits than its factorization.

213333200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2472 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 213333200 is about 14605.9303024491. The cubic root of 213333200 is about 597.5205083908.

Adding to 213333200 its reverse (2333312), we get a palindrome (215666512).

The spelling of 213333200 in words is "two hundred thirteen million, three hundred thirty-three thousand, two hundred".