22761216 has 144 divisors (see below), whose sum is σ = 69904800. Its totient is φ = 7299072.

The previous prime is 22761199. The next prime is 22761227. The reversal of 22761216 is 61216722.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 22761216.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 255700 + ... + 255788.

It is an arithmetic number, because the mean of its divisors is an integer number (485450).

Almost surely, 2^22761216 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 22761216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34952400).

22761216 is an abundant number, since it is smaller than the sum of its proper divisors (47143584).

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

22761216 is an equidigital number, since it uses as much as digits as its factorization.

22761216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 22761216 is about 4770.8716184781. The cubic root of 22761216 is about 283.3991130624.

Adding to 22761216 its reverse (61216722), we get a palindrome (83977938).

The spelling of 22761216 in words is "twenty-two million, seven hundred sixty-one thousand, two hundred sixteen".