22322016 has 72 divisors (see below), whose sum is σ = 63980280. Its totient is φ = 7382016.

The previous prime is 22322011. The next prime is 22322021. The reversal of 22322016 is 61022322.

It is an interprime number because it is at equal distance from previous prime (22322011) and next prime (22322021).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×22322016³ (a number of 23 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22322016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22322011) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 51336 + ... + 51768.

It is an arithmetic number, because the mean of its divisors is an integer number (888615).

Almost surely, 2^22322016 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 22322016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31990140).

22322016 is an abundant number, since it is smaller than the sum of its proper divisors (41658264).

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

22322016 is a wasteful number, since it uses less digits than its factorization.

22322016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 617 counting only the distinct ones).

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

The square root of 22322016 is about 4724.6180798029. The cubic root of 22322016 is about 281.5644400259.

Adding to 22322016 its reverse (61022322), we get a palindrome (83344338).

The spelling of 22322016 in words is "twenty-two million, three hundred twenty-two thousand, sixteen".