224227360 has 192 divisors, whose sum is σ = 655361280. Its totient is φ = 70778880.

The previous prime is 224227357. The next prime is 224227361. The reversal of 224227360 is 63722422.

224227360 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 (224227361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 872352 + ... + 872608.

It is an arithmetic number, because the mean of its divisors is an integer number (3413340).

Almost surely, 2^224227360 is an apocalyptic number.

224227360 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 224227360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327680640).

224227360 is an abundant number, since it is smaller than the sum of its proper divisors (431133920).

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

224227360 is a wasteful number, since it uses less digits than its factorization.

224227360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 224227360 is about 14974.2231851939. The cubic root of 224227360 is about 607.5232007487.

Adding to 224227360 its reverse (63722422), we get a palindrome (287949782).

The spelling of 224227360 in words is "two hundred twenty-four million, two hundred twenty-seven thousand, three hundred sixty".