224680320 has 192 divisors, whose sum is σ = 817081200. Its totient is φ = 56733696.

The previous prime is 224680271. The next prime is 224680321. The reversal of 224680320 is 23086422.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224680321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108414 + ... + 110466.

Almost surely, 2^224680320 is an apocalyptic number.

224680320 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 224680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408540600).

224680320 is an abundant number, since it is smaller than the sum of its proper divisors (592400880).

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

224680320 is a wasteful number, since it uses less digits than its factorization.

224680320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 224680320 is about 14989.3402122975. The cubic root of 224680320 is about 607.9320099411.

The spelling of 224680320 in words is "two hundred twenty-four million, six hundred eighty thousand, three hundred twenty".