212750240 has 144 divisors (see below), whose sum is σ = 551450592. Its totient is φ = 77500416.

The previous prime is 212750231. The next prime is 212750261. The reversal of 212750240 is 42057212.

It is a happy number.

212750240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1988267 + ... + 1988373.

It is an arithmetic number, because the mean of its divisors is an integer number (3829518).

Almost surely, 2^212750240 is an apocalyptic number.

212750240 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 212750240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275725296).

212750240 is an abundant number, since it is smaller than the sum of its proper divisors (338700352).

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

212750240 is a wasteful number, since it uses less digits than its factorization.

212750240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 212750240 is about 14585.9603729065. The cubic root of 212750240 is about 596.9757450442.

The spelling of 212750240 in words is "two hundred twelve million, seven hundred fifty thousand, two hundred forty".