213305200 has 30 divisors (see below), whose sum is σ = 512466704. Its totient is φ = 85321920.

The previous prime is 213305177. The next prime is 213305201. The reversal of 213305200 is 2503312.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213305201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 266232 + ... + 267031.

Almost surely, 2^213305200 is an apocalyptic number.

213305200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213305200 is an abundant number, since it is smaller than the sum of its proper divisors (299161504).

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

213305200 is a wasteful number, since it uses less digits than its factorization.

213305200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533281 (or 533270 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 213305200 is about 14604.9717562206. The cubic root of 213305200 is about 597.4943657084.

Adding to 213305200 its reverse (2503312), we get a palindrome (215808512).

The spelling of 213305200 in words is "two hundred thirteen million, three hundred five thousand, two hundred".