224056320 has 176 divisors, whose sum is σ = 742815360. Its totient is φ = 57573376.

The previous prime is 224056309. The next prime is 224056337. The reversal of 224056320 is 23650422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 445189 + ... + 445691.

Almost surely, 2^224056320 is an apocalyptic number.

224056320 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 224056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371407680).

224056320 is an abundant number, since it is smaller than the sum of its proper divisors (518759040).

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

224056320 is a wasteful number, since it uses less digits than its factorization.

224056320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 224056320 is about 14968.5109479868. The cubic root of 224056320 is about 607.3686891251.

The spelling of 224056320 in words is "two hundred twenty-four million, fifty-six thousand, three hundred twenty".