212277240 has 256 divisors, whose sum is σ = 828748800. Its totient is φ = 47319552.

The previous prime is 212277229. The next prime is 212277257. The reversal of 212277240 is 42772212.

212277240 is digitally balanced in base 3, 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 324754 + ... + 325406.

It is an arithmetic number, because the mean of its divisors is an integer number (3237300).

Almost surely, 2^212277240 is an apocalyptic number.

212277240 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 212277240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414374400).

212277240 is an abundant number, since it is smaller than the sum of its proper divisors (616471560).

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

212277240 is a wasteful number, since it uses less digits than its factorization.

212277240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 212277240 is about 14569.7371287199. The cubic root of 212277240 is about 596.5330051646.

The spelling of 212277240 in words is "two hundred twelve million, two hundred seventy-seven thousand, two hundred forty".