212348240 has 80 divisors (see below), whose sum is σ = 539163408. Its totient is φ = 77303808.

The previous prime is 212348231. The next prime is 212348243. The reversal of 212348240 is 42843212.

212348240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2446096 + 209902144 = 1564^2 + 14488^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212348243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74522 + ... + 77318.

Almost surely, 2^212348240 is an apocalyptic number.

212348240 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 212348240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269581704).

212348240 is an abundant number, since it is smaller than the sum of its proper divisors (326815168).

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

212348240 is a wasteful number, since it uses less digits than its factorization.

212348240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 2890 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 212348240 is about 14572.1734823601. The cubic root of 212348240 is about 596.5995048707.

The spelling of 212348240 in words is "two hundred twelve million, three hundred forty-eight thousand, two hundred forty".