212416032 has 48 divisors (see below), whose sum is σ = 563365152. Its totient is φ = 70072320.

The previous prime is 212416031. The next prime is 212416051. The reversal of 212416032 is 230614212.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (212416031) 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 7 ways as a sum of consecutive naturals, for example, 2094 + ... + 20717.

It is an arithmetic number, because the mean of its divisors is an integer number (11736774).

Almost surely, 2^212416032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212416032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281682576).

212416032 is an abundant number, since it is smaller than the sum of its proper divisors (350949120).

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

212416032 is a wasteful number, since it uses less digits than its factorization.

212416032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22921 (or 22913 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 212416032 is about 14574.4993739065. The cubic root of 212416032 is about 596.6629860819.

The spelling of 212416032 in words is "two hundred twelve million, four hundred sixteen thousand, thirty-two".