224956732 has 96 divisors (see below), whose sum is σ = 556577280. Its totient is φ = 76619520.

The previous prime is 224956723. The next prime is 224956757. The reversal of 224956732 is 237659422.

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 31 ways as a sum of consecutive naturals, for example, 74598 + ... + 77554.

It is an arithmetic number, because the mean of its divisors is an integer number (5797680).

Almost surely, 2^224956732 is an apocalyptic number.

224956732 is a gapful number since it is divisible by the number (22) 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 224956732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278288640).

224956732 is an abundant number, since it is smaller than the sum of its proper divisors (331620548).

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

224956732 is a wasteful number, since it uses less digits than its factorization.

224956732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011 (or 3009 counting only the distinct ones).

The product of its digits is 181440, while the sum is 40.

The square root of 224956732 is about 14998.5576639889. The cubic root of 224956732 is about 608.1812096926.

The spelling of 224956732 in words is "two hundred twenty-four million, nine hundred fifty-six thousand, seven hundred thirty-two".