23382216 has 128 divisors (see below), whose sum is σ = 76406400. Its totient is φ = 6531840.

The previous prime is 23382211. The next prime is 23382257. The reversal of 23382216 is 61228332.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 23382216.

It is not an unprimeable number, because it can be changed into a prime (23382211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30510 + ... + 31266.

It is an arithmetic number, because the mean of its divisors is an integer number (596925).

Almost surely, 2^23382216 is an apocalyptic number.

23382216 is a gapful number since it is divisible by the number (26) 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 23382216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38203200).

23382216 is an abundant number, since it is smaller than the sum of its proper divisors (53024184).

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

23382216 is a wasteful number, since it uses less digits than its factorization.

23382216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 786 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 23382216 is about 4835.5161048227. The cubic root of 23382216 is about 285.9533723519.

It can be divided in two parts, 2338 and 2216, that added together give a palindrome (4554).

The spelling of 23382216 in words is "twenty-three million, three hundred eighty-two thousand, two hundred sixteen".