2216832 has 64 divisors (see below), whose sum is σ = 6168960. Its totient is φ = 704000.

The previous prime is 2216821. The next prime is 2216839. The reversal of 2216832 is 2386122.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2216839) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8707 + ... + 8957.

It is an arithmetic number, because the mean of its divisors is an integer number (96390).

2^2216832 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 2216832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084480).

2216832 is an abundant number, since it is smaller than the sum of its proper divisors (3952128).

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

2216832 is a wasteful number, since it uses less digits than its factorization.

2216832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 279 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 2216832 is about 1488.9029518407. The cubic root of 2216832 is about 130.3899925827.

The spelling of 2216832 in words is "two million, two hundred sixteen thousand, eight hundred thirty-two".