224284320 has 144 divisors (see below), whose sum is σ = 824313672. Its totient is φ = 55203840.

The previous prime is 224284297. The next prime is 224284327. The reversal of 224284320 is 23482422.

224284320 is a `hidden beast` number, since 224 + 2 + 8 + 432 + 0 = 666.

224284320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 196784784 + 27499536 = 14028^2 + 5244^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224284327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12730 + ... + 24710.

Almost surely, 2^224284320 is an apocalyptic number.

224284320 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 224284320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412156836).

224284320 is an abundant number, since it is smaller than the sum of its proper divisors (600029352).

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

224284320 is a wasteful number, since it uses less digits than its factorization.

224284320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12015 (or 12004 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 224284320 is about 14976.1249994783. The cubic root of 224284320 is about 607.5746390028.

The spelling of 224284320 in words is "two hundred twenty-four million, two hundred eighty-four thousand, three hundred twenty".