224243124 has 96 divisors (see below), whose sum is σ = 636362496. Its totient is φ = 59996160.

The previous prime is 224243113. The next prime is 224243143. The reversal of 224243124 is 421342422.

It is a super-3 number, since 3×224243124³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 224243094 and 224243103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 532434 + ... + 532854.

It is an arithmetic number, because the mean of its divisors is an integer number (6628776).

Almost surely, 2^224243124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224243124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318181248).

224243124 is an abundant number, since it is smaller than the sum of its proper divisors (412119372).

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

224243124 is a wasteful number, since it uses less digits than its factorization.

224243124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 823 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 224243124 is about 14974.7495471544. The cubic root of 224243124 is about 607.5374374463.

Adding to 224243124 its reverse (421342422), we get a palindrome (645585546).

The spelling of 224243124 in words is "two hundred twenty-four million, two hundred forty-three thousand, one hundred twenty-four".