211242800 has 30 divisors (see below), whose sum is σ = 507511788. Its totient is φ = 84496960.

The previous prime is 211242797. The next prime is 211242827. The reversal of 211242800 is 8242112.

It is a happy number.

211242800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 263654 + ... + 264453.

Almost surely, 2^211242800 is an apocalyptic number.

211242800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211242800 is an abundant number, since it is smaller than the sum of its proper divisors (296268988).

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

211242800 is a wasteful number, since it uses less digits than its factorization.

211242800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528125 (or 528114 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 211242800 is about 14534.1941641083. The cubic root of 211242800 is about 595.5624462912.

Adding to 211242800 its reverse (8242112), we get a palindrome (219484912).

The spelling of 211242800 in words is "two hundred eleven million, two hundred forty-two thousand, eight hundred".