213817200 has 240 divisors, whose sum is σ = 732143616. Its totient is φ = 53222400.

The previous prime is 213817189. The next prime is 213817207. The reversal of 213817200 is 2718312.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213817207) 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, 1683537 + ... + 1683663.

Almost surely, 2^213817200 is an apocalyptic number.

213817200 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 213817200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366071808).

213817200 is an abundant number, since it is smaller than the sum of its proper divisors (518326416).

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

213817200 is a wasteful number, since it uses less digits than its factorization.

213817200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 213817200 is about 14622.4895281207. The cubic root of 213817200 is about 597.9720422570.

The spelling of 213817200 in words is "two hundred thirteen million, eight hundred seventeen thousand, two hundred".