213523200 has 324 divisors, whose sum is σ = 835264248. Its totient is φ = 51609600.

The previous prime is 213523187. The next prime is 213523229. The reversal of 213523200 is 2325312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 633432 + ... + 633768.

Almost surely, 2^213523200 is an apocalyptic number.

213523200 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 213523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417632124).

213523200 is an abundant number, since it is smaller than the sum of its proper divisors (621741048).

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

213523200 is a wasteful number, since it uses less digits than its factorization.

213523200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 213523200 is about 14612.4330622932. The cubic root of 213523200 is about 597.6978447662.

Adding to 213523200 its reverse (2325312), we get a palindrome (215848512).

The spelling of 213523200 in words is "two hundred thirteen million, five hundred twenty-three thousand, two hundred".