212283240 has 128 divisors (see below), whose sum is σ = 702777600. Its totient is φ = 50964480.

The previous prime is 212283223. The next prime is 212283259. The reversal of 212283240 is 42382212.

212283240 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 212283240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62301 + ... + 65619.

It is an arithmetic number, because the mean of its divisors is an integer number (5490450).

Almost surely, 2^212283240 is an apocalyptic number.

212283240 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 212283240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351388800).

212283240 is an abundant number, since it is smaller than the sum of its proper divisors (490494360).

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

212283240 is a wasteful number, since it uses less digits than its factorization.

212283240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 212283240 is about 14569.9430335194. The cubic root of 212283240 is about 596.5386254316.

The spelling of 212283240 in words is "two hundred twelve million, two hundred eighty-three thousand, two hundred forty".