212343200 has 72 divisors (see below), whose sum is σ = 520427628. Its totient is φ = 84602880.

The previous prime is 212343169. The next prime is 212343217. The reversal of 212343200 is 2343212.

It can be written as a sum of positive squares in 6 ways, for example, as 698896 + 211644304 = 836^2 + 14548^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 346094 + ... + 346706.

Almost surely, 2^212343200 is an apocalyptic number.

212343200 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 212343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260213814).

212343200 is an abundant number, since it is smaller than the sum of its proper divisors (308084428).

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

212343200 is a wasteful number, since it uses less digits than its factorization.

212343200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 212343200 is about 14572.0005489981. Note that the first 3 decimals coincide. The cubic root of 212343200 is about 596.5947848170.

Adding to 212343200 its reverse (2343212), we get a palindrome (214686412).

The spelling of 212343200 in words is "two hundred twelve million, three hundred forty-three thousand, two hundred".