224368128 has 240 divisors, whose sum is σ = 708570720. Its totient is φ = 68124672.

The previous prime is 224368127. The next prime is 224368141. The reversal of 224368128 is 821863422.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 224368092 and 224368101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224368121) 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, 3073500 + ... + 3073572.

It is an arithmetic number, because the mean of its divisors is an integer number (2952378).

Almost surely, 2^224368128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224368128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354285360).

224368128 is an abundant number, since it is smaller than the sum of its proper divisors (484202592).

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

224368128 is a wasteful number, since it uses less digits than its factorization.

224368128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 130 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 224368128 is about 14978.9227917097. The cubic root of 224368128 is about 607.6503067599.

The spelling of 224368128 in words is "two hundred twenty-four million, three hundred sixty-eight thousand, one hundred twenty-eight".