216524032 has 36 divisors (see below), whose sum is σ = 434789460. Its totient is φ = 107614208.

The previous prime is 216524003. The next prime is 216524039. The reversal of 216524032 is 230425612.

It can be written as a sum of positive squares in 2 ways, for example, as 176783616 + 39740416 = 13296^2 + 6304^2 .

It is a junction number, because it is equal to n+sod(n) for n = 216523988 and 216524006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216524039) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 41844 + ... + 46732.

It is an arithmetic number, because the mean of its divisors is an integer number (12077485).

Almost surely, 2^216524032 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 216524032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217394730).

216524032 is an abundant number, since it is smaller than the sum of its proper divisors (218265428).

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

216524032 is an equidigital number, since it uses as much as digits as its factorization.

216524032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5078 (or 5064 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 216524032 is about 14714.7555875047. The cubic root of 216524032 is about 600.4848229538.

Adding to 216524032 its reverse (230425612), we get a palindrome (446949644).

The spelling of 216524032 in words is "two hundred sixteen million, five hundred twenty-four thousand, thirty-two".