213343200 has 576 divisors, whose sum is σ = 944939520. Its totient is φ = 45342720.

The previous prime is 213343187. The next prime is 213343231. The reversal of 213343200 is 2343312.

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 95 ways as a sum of consecutive naturals, for example, 2570359 + ... + 2570441.

It is an arithmetic number, because the mean of its divisors is an integer number (1640520).

Almost surely, 2^213343200 is an apocalyptic number.

213343200 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 213343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472469760).

213343200 is an abundant number, since it is smaller than the sum of its proper divisors (731596320).

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

213343200 is a wasteful number, since it uses less digits than its factorization.

213343200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 117 counting only the distinct ones).

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

The square root of 213343200 is about 14606.2726251429. The cubic root of 213343200 is about 597.5298445087.

Adding to 213343200 its reverse (2343312), we get a palindrome (215686512).

The spelling of 213343200 in words is "two hundred thirteen million, three hundred forty-three thousand, two hundred".