212818240 has 224 divisors, whose sum is σ = 592531200. Its totient is φ = 72253440.

The previous prime is 212818231. The next prime is 212818253. The reversal of 212818240 is 42818212.

It is a junction number, because it is equal to n+sod(n) for n = 212818199 and 212818208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2997405 + ... + 2997475.

Almost surely, 2^212818240 is an apocalyptic number.

212818240 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 212818240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296265600).

212818240 is an abundant number, since it is smaller than the sum of its proper divisors (379712960).

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

212818240 is a wasteful number, since it uses less digits than its factorization.

212818240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 212818240 is about 14588.2911953388. The cubic root of 212818240 is about 597.0393407836.

Subtracting from 212818240 its sum of digits (28), we obtain a palindrome (212818212).

The spelling of 212818240 in words is "two hundred twelve million, eight hundred eighteen thousand, two hundred forty".