212516544 has 56 divisors (see below), whose sum is σ = 566399680. Its totient is φ = 70320384.

The previous prime is 212516533. The next prime is 212516569. The reversal of 212516544 is 445615212.

212516544 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 7 ways as a sum of consecutive naturals, for example, 22707 + ... + 30669.

It is an arithmetic number, because the mean of its divisors is an integer number (10114280).

Almost surely, 2^212516544 is an apocalyptic number.

212516544 is a gapful number since it is divisible by the number (24) 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 212516544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283199840).

212516544 is an abundant number, since it is smaller than the sum of its proper divisors (353883136).

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

212516544 is a wasteful number, since it uses less digits than its factorization.

212516544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8117 (or 8107 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 212516544 is about 14577.9471805875. The cubic root of 212516544 is about 596.7570818253.

The spelling of 212516544 in words is "two hundred twelve million, five hundred sixteen thousand, five hundred forty-four".