22413312 has 108 divisors (see below), whose sum is σ = 68157180. Its totient is φ = 7077888.

The previous prime is 22413289. The next prime is 22413319. The reversal of 22413312 is 21331422.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (288) is a multiple of the sum of its prime divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22413319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1179639 + ... + 1179657.

It is an arithmetic number, because the mean of its divisors is an integer number (631085).

Almost surely, 2^22413312 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 22413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34078590).

22413312 is an abundant number, since it is smaller than the sum of its proper divisors (45743868).

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

22413312 is an frugal number, since it uses more digits than its factorization.

22413312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 24 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 22413312 is about 4734.2699542802. The cubic root of 22413312 is about 281.9477796771.

Adding to 22413312 its reverse (21331422), we get a palindrome (43744734).

The spelling of 22413312 in words is "twenty-two million, four hundred thirteen thousand, three hundred twelve".