212233600 has 96 divisors (see below), whose sum is σ = 542599200. Its totient is φ = 81930240.

The previous prime is 212233597. The next prime is 212233601. The reversal of 212233600 is 6332212.

212233600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212233601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91657 + ... + 93943.

It is an arithmetic number, because the mean of its divisors is an integer number (5652075).

Almost surely, 2^212233600 is an apocalyptic number.

212233600 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 212233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271299600).

212233600 is an abundant number, since it is smaller than the sum of its proper divisors (330365600).

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

212233600 is a wasteful number, since it uses less digits than its factorization.

212233600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 212233600 is about 14568.2394269177. The cubic root of 212233600 is about 596.4921239024.

Adding to 212233600 its reverse (6332212), we get a palindrome (218565812).

The spelling of 212233600 in words is "two hundred twelve million, two hundred thirty-three thousand, six hundred".