22314144 has 24 divisors (see below), whose sum is σ = 58574880. Its totient is φ = 7438016.

The previous prime is 22314139. The next prime is 22314167. The reversal of 22314144 is 44141322.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×22314144³ (a number of 23 digits) contains 333 as substring.

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 22314144.

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 3 ways as a sum of consecutive naturals, for example, 116124 + ... + 116315.

It is an arithmetic number, because the mean of its divisors is an integer number (2440620).

Almost surely, 2^22314144 is an apocalyptic number.

22314144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22314144 is an abundant number, since it is smaller than the sum of its proper divisors (36260736).

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

22314144 is a wasteful number, since it uses less digits than its factorization.

22314144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232452 (or 232444 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 22314144 is about 4723.7849231310. The cubic root of 22314144 is about 281.5313376413.

Adding to 22314144 its reverse (44141322), we get a palindrome (66455466).

The spelling of 22314144 in words is "twenty-two million, three hundred fourteen thousand, one hundred forty-four".