224942080 has 96 divisors (see below), whose sum is σ = 589090320. Its totient is φ = 81756160.

The previous prime is 224942063. The next prime is 224942087. The reversal of 224942080 is 80249422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224942087) 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, 111642 + ... + 113638.

Almost surely, 2^224942080 is an apocalyptic number.

224942080 is a gapful number since it is divisible by the number (20) 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 224942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294545160).

224942080 is an abundant number, since it is smaller than the sum of its proper divisors (364148240).

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

224942080 is a wasteful number, since it uses less digits than its factorization.

224942080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 224942080 is about 14998.0692090682. The cubic root of 224942080 is about 608.1680052800.

The spelling of 224942080 in words is "two hundred twenty-four million, nine hundred forty-two thousand, eighty".