212465220 has 96 divisors (see below), whose sum is σ = 683182080. Its totient is φ = 48792960.

The previous prime is 212465203. The next prime is 212465233. The reversal of 212465220 is 22564212.

It is a happy number.

212465220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 4069 + ... + 21011.

It is an arithmetic number, because the mean of its divisors is an integer number (7116480).

Almost surely, 2^212465220 is an apocalyptic number.

212465220 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 212465220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341591040).

212465220 is an abundant number, since it is smaller than the sum of its proper divisors (470716860).

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

212465220 is a wasteful number, since it uses less digits than its factorization.

212465220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16985 (or 16983 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 212465220 is about 14576.1867441385. The cubic root of 212465220 is about 596.7090378380.

The spelling of 212465220 in words is "two hundred twelve million, four hundred sixty-five thousand, two hundred twenty".