213391200 has 288 divisors, whose sum is σ = 776200320. Its totient is φ = 50483200.

The previous prime is 213391169. The next prime is 213391201. The reversal of 213391200 is 2193312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213391201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1557532 + ... + 1557668.

It is an arithmetic number, because the mean of its divisors is an integer number (2695140).

Almost surely, 2^213391200 is an apocalyptic number.

213391200 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 213391200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388100160).

213391200 is an abundant number, since it is smaller than the sum of its proper divisors (562809120).

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

213391200 is a wasteful number, since it uses less digits than its factorization.

213391200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 213391200 is about 14607.9156624071. The cubic root of 213391200 is about 597.5746538141.

The spelling of 213391200 in words is "two hundred thirteen million, three hundred ninety-one thousand, two hundred".