224312328 has 96 divisors (see below), whose sum is σ = 663280800. Its totient is φ = 70823808.

The previous prime is 224312327. The next prime is 224312351. The reversal of 224312328 is 823213422.

224312328 is a `hidden beast` number, since 2 + 24 + 312 + 328 = 666.

224312328 is digitally balanced in base 2, 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 (27).

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

It is not an unprimeable number, because it can be changed into a prime (224312321) 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, 33900 + ... + 39972.

It is an arithmetic number, because the mean of its divisors is an integer number (6909175).

Almost surely, 2^224312328 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 224312328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331640400).

224312328 is an abundant number, since it is smaller than the sum of its proper divisors (438968472).

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

224312328 is a wasteful number, since it uses less digits than its factorization.

224312328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6113 (or 6097 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 224312328 is about 14977.0600586363. The cubic root of 224312328 is about 607.5999286920.

The spelling of 224312328 in words is "two hundred twenty-four million, three hundred twelve thousand, three hundred twenty-eight".