224314320 has 80 divisors (see below), whose sum is σ = 736292160. Its totient is φ = 56297472.

The previous prime is 224314301. The next prime is 224314369. The reversal of 224314320 is 23413422.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23410 + ... + 31569.

It is an arithmetic number, because the mean of its divisors is an integer number (9203652).

Almost surely, 2^224314320 is an apocalyptic number.

224314320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224314320 is an abundant number, since it is smaller than the sum of its proper divisors (511977840).

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

224314320 is a wasteful number, since it uses less digits than its factorization.

224314320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55012 (or 55006 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 224314320 is about 14977.1265601917. The cubic root of 224314320 is about 607.6017272786.

Adding to 224314320 its reverse (23413422), we get a palindrome (247727742).

The spelling of 224314320 in words is "two hundred twenty-four million, three hundred fourteen thousand, three hundred twenty".