213232200 has 96 divisors (see below), whose sum is σ = 663305760. Its totient is φ = 56665600.

The previous prime is 213232177. The next prime is 213232211. The reversal of 213232200 is 2232312.

It is a super-2 number, since 2×213232200² = 90935942233680000, which contains 22 as substring.

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 213232200.

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 23 ways as a sum of consecutive naturals, for example, 279820 + ... + 280580.

It is an arithmetic number, because the mean of its divisors is an integer number (6909435).

Almost surely, 2^213232200 is an apocalyptic number.

213232200 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 213232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331652880).

213232200 is an abundant number, since it is smaller than the sum of its proper divisors (450073560).

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

213232200 is a wasteful number, since it uses less digits than its factorization.

213232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 213232200 is about 14602.4723933997. The cubic root of 213232200 is about 597.4261972416.

Adding to 213232200 its reverse (2232312), we get a palindrome (215464512).

The spelling of 213232200 in words is "two hundred thirteen million, two hundred thirty-two thousand, two hundred".