22414312224 has 84 divisors (see below), whose sum is σ = 66162068406. Its totient is φ = 7471429632.

The previous prime is 22414312213. The next prime is 22414312243. The reversal of 22414312224 is 42221341422.

It is a happy number.

22414312224 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 431 + 2 + 224 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21924132624 + 490179600 = 148068^2 + 22140^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 457089 + ... + 503744.

Almost surely, 2^22414312224 is an apocalyptic number.

22414312224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22414312224 is an abundant number, since it is smaller than the sum of its proper divisors (43747756182).

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

22414312224 is an frugal number, since it uses more digits than its factorization.

22414312224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960861 (or 960838 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 22414312224 its reverse (42221341422), we get a palindrome (64635653646).

The spelling of 22414312224 in words is "twenty-two billion, four hundred fourteen million, three hundred twelve thousand, two hundred twenty-four".