224224224 has 48 divisors (see below), whose sum is σ = 672674688. Its totient is φ = 64063872.

The previous prime is 224224223. The next prime is 224224229. The reversal of 224224224 is 422422422.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

224224224 is a modest number, since divided by 224224 gives 224 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 224224194 and 224224203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224224223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166162 + ... + 167505.

It is an arithmetic number, because the mean of its divisors is an integer number (14014056).

Almost surely, 2^224224224 is an apocalyptic number.

224224224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224224224 is an abundant number, since it is smaller than the sum of its proper divisors (448450464).

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

224224224 is a wasteful number, since it uses less digits than its factorization.

224224224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333687 (or 333679 counting only the distinct ones).

The product of its digits is 4096, while the sum is 24.

The square root of 224224224 is about 14974.1184715495. The cubic root of 224224224 is about 607.5203685020.

Adding to 224224224 its reverse (422422422), we get a palindrome (646646646).

The spelling of 224224224 in words is "two hundred twenty-four million, two hundred twenty-four thousand, two hundred twenty-four".