210042200 has 48 divisors (see below), whose sum is σ = 489645000. Its totient is φ = 83793920.

The previous prime is 210042199. The next prime is 210042257. The reversal of 210042200 is 2240012.

210042200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 88631 + ... + 90969.

Almost surely, 2^210042200 is an apocalyptic number.

210042200 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 210042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244822500).

210042200 is an abundant number, since it is smaller than the sum of its proper divisors (279602800).

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

210042200 is a wasteful number, since it uses less digits than its factorization.

210042200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2804 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 210042200 is about 14492.8327113784. The cubic root of 210042200 is about 594.4320074519.

Adding to 210042200 its reverse (2240012), we get a palindrome (212282212).

The spelling of 210042200 in words is "two hundred ten million, forty-two thousand, two hundred".