212306418 has 48 divisors (see below), whose sum is σ = 485503200. Its totient is φ = 66864960.

The previous prime is 212306389. The next prime is 212306431. The reversal of 212306418 is 814603212.

212306418 is a `hidden beast` number, since 2 + 12 + 3 + 0 + 641 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 212306391 and 212306400.

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, 194053 + ... + 195143.

It is an arithmetic number, because the mean of its divisors is an integer number (10114650).

Almost surely, 2^212306418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212306418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242751600).

212306418 is an abundant number, since it is smaller than the sum of its proper divisors (273196782).

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

212306418 is a wasteful number, since it uses less digits than its factorization.

212306418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 212306418 is about 14570.7384164290. The cubic root of 212306418 is about 596.5603355284.

The spelling of 212306418 in words is "two hundred twelve million, three hundred six thousand, four hundred eighteen".