213115200 has 168 divisors, whose sum is σ = 723778080. Its totient is φ = 54835200.

The previous prime is 213115187. The next prime is 213115211. The reversal of 213115200 is 2511312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 213115200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138435 + ... + 139965.

Almost surely, 2^213115200 is an apocalyptic number.

213115200 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 213115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361889040).

213115200 is an abundant number, since it is smaller than the sum of its proper divisors (510662880).

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

213115200 is a wasteful number, since it uses less digits than its factorization.

213115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 213115200 is about 14598.4656728027. The cubic root of 213115200 is about 597.3169084734.

Adding to 213115200 its reverse (2511312), we get a palindrome (215626512).

The spelling of 213115200 in words is "two hundred thirteen million, one hundred fifteen thousand, two hundred".