224994672 has 180 divisors, whose sum is σ = 760248216. Its totient is φ = 64229760.

The previous prime is 224994661. The next prime is 224994691. The reversal of 224994672 is 276499422.

It is a happy number.

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 (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 189922 + ... + 191102.

Almost surely, 2^224994672 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 224994672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380124108).

224994672 is an abundant number, since it is smaller than the sum of its proper divisors (535253544).

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

224994672 is a wasteful number, since it uses less digits than its factorization.

224994672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1193 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 224994672 is about 14999.8223989486. The cubic root of 224994672 is about 608.2153986347.

The spelling of 224994672 in words is "two hundred twenty-four million, nine hundred ninety-four thousand, six hundred seventy-two".