224318080 has 192 divisors, whose sum is σ = 653028480. Its totient is φ = 73328640.

The previous prime is 224318033. The next prime is 224318089. The reversal of 224318080 is 80813422.

224318080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (224318089) 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 23 ways as a sum of consecutive naturals, for example, 721125 + ... + 721435.

It is an arithmetic number, because the mean of its divisors is an integer number (3401190).

Almost surely, 2^224318080 is an apocalyptic number.

224318080 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 224318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326514240).

224318080 is an abundant number, since it is smaller than the sum of its proper divisors (428710400).

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

224318080 is a wasteful number, since it uses less digits than its factorization.

224318080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 224318080 is about 14977.2520844112. The cubic root of 224318080 is about 607.6051221722.

The spelling of 224318080 in words is "two hundred twenty-four million, three hundred eighteen thousand, eighty".