224098320 has 80 divisors (see below), whose sum is σ = 704276352. Its totient is φ = 58936320.

The previous prime is 224098289. The next prime is 224098321. The reversal of 224098320 is 23890422.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (224098321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11125 + ... + 23915.

Almost surely, 2^224098320 is an apocalyptic number.

224098320 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 224098320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352138176).

224098320 is an abundant number, since it is smaller than the sum of its proper divisors (480178032).

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

224098320 is a wasteful number, since it uses less digits than its factorization.

224098320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12880 (or 12874 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 224098320 is about 14969.9138274073. The cubic root of 224098320 is about 607.4066377551.

The spelling of 224098320 in words is "two hundred twenty-four million, ninety-eight thousand, three hundred twenty".