213433200 has 180 divisors, whose sum is σ = 749280168. Its totient is φ = 56256000.

The previous prime is 213433193. The next prime is 213433219. The reversal of 213433200 is 2334312.

213433200 is a `hidden beast` number, since 2 + 1 + 343 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 363307 + ... + 363893.

Almost surely, 2^213433200 is an apocalyptic number.

213433200 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 213433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374640084).

213433200 is an abundant number, since it is smaller than the sum of its proper divisors (535846968).

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

213433200 is a wasteful number, since it uses less digits than its factorization.

213433200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 213433200 is about 14609.3531684329. The cubic root of 213433200 is about 597.6138564445.

Adding to 213433200 its reverse (2334312), we get a palindrome (215767512).

The spelling of 213433200 in words is "two hundred thirteen million, four hundred thirty-three thousand, two hundred".