22142016 has 84 divisors (see below), whose sum is σ = 68371212. Its totient is φ = 6810624.

The previous prime is 22141981. The next prime is 22142023. The reversal of 22142016 is 61024122.

It can be written as a sum of positive squares in 2 ways, for example, as 3686400 + 18455616 = 1920^2 + 4296^2 .

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 22142016.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6010 + ... + 8966.

It is an arithmetic number, because the mean of its divisors is an integer number (813943).

Almost surely, 2^22142016 is an apocalyptic number.

22142016 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 22142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34185606).

22142016 is an abundant number, since it is smaller than the sum of its proper divisors (46229196).

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

22142016 is a wasteful number, since it uses less digits than its factorization.

22142016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2988 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 22142016 is about 4705.5303633066. The cubic root of 22142016 is about 280.8055712728.

Adding to 22142016 its reverse (61024122), we get a palindrome (83166138).

The spelling of 22142016 in words is "twenty-two million, one hundred forty-two thousand, sixteen".