212093200 has 240 divisors, whose sum is σ = 608889600. Its totient is φ = 70156800.

The previous prime is 212093183. The next prime is 212093209. The reversal of 212093200 is 2390212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (212093209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3594771 + ... + 3594829.

It is an arithmetic number, because the mean of its divisors is an integer number (2537040).

Almost surely, 2^212093200 is an apocalyptic number.

212093200 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 212093200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304444800).

212093200 is an abundant number, since it is smaller than the sum of its proper divisors (396796400).

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

212093200 is a wasteful number, since it uses less digits than its factorization.

212093200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 212093200 is about 14563.4199280251. The cubic root of 212093200 is about 596.3605613721.

The spelling of 212093200 in words is "two hundred twelve million, ninety-three thousand, two hundred".