213231200 has 288 divisors, whose sum is σ = 669332160. Its totient is φ = 64512000.

The previous prime is 213231197. The next prime is 213231353. The reversal of 213231200 is 2132312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2111150 + ... + 2111250.

It is an arithmetic number, because the mean of its divisors is an integer number (2324070).

Almost surely, 2^213231200 is an apocalyptic number.

213231200 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 213231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334666080).

213231200 is an abundant number, since it is smaller than the sum of its proper divisors (456100960).

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

213231200 is a wasteful number, since it uses less digits than its factorization.

213231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 213231200 is about 14602.4381525826. The cubic root of 213231200 is about 597.4252633189.

Adding to 213231200 its reverse (2132312), we get a palindrome (215363512).

Multiplying 213231200 by its reverse (2132312), we get a square (454675446534400 = 21323120²).

213231200 divided by its reverse (2132312) gives a square (100 = 10²).

The spelling of 213231200 in words is "two hundred thirteen million, two hundred thirty-one thousand, two hundred".