22141224 has 96 divisors (see below), whose sum is σ = 69189120. Its totient is φ = 6265728.

The previous prime is 22141211. The next prime is 22141241. The reversal of 22141224 is 42214122.

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.

It is a junction number, because it is equal to n+sod(n) for n = 22141197 and 22141206.

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 23 ways as a sum of consecutive naturals, for example, 99177 + ... + 99399.

It is an arithmetic number, because the mean of its divisors is an integer number (720720).

Almost surely, 2^22141224 is an apocalyptic number.

22141224 is a gapful number since it is divisible by the number (24) 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 22141224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34594560).

22141224 is an abundant number, since it is smaller than the sum of its proper divisors (47047896).

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

22141224 is a wasteful number, since it uses less digits than its factorization.

22141224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 432 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 22141224 is about 4705.4462062593. The cubic root of 22141224 is about 280.8022231786.

Adding to 22141224 its reverse (42214122), we get a palindrome (64355346).

It can be divided in two parts, 22 and 141224, that added together give a triangular number (141246 = T₅₃₁).

The spelling of 22141224 in words is "twenty-two million, one hundred forty-one thousand, two hundred twenty-four".