224362128 has 80 divisors (see below), whose sum is σ = 603389952. Its totient is φ = 71760000.

The previous prime is 224362109. The next prime is 224362129. The reversal of 224362128 is 821263422.

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 = 224362095 and 224362104.

It is not an unprimeable number, because it can be changed into a prime (224362129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194353 + ... + 195503.

Almost surely, 2^224362128 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 224362128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301694976).

224362128 is an abundant number, since it is smaller than the sum of its proper divisors (379027824).

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

224362128 is a wasteful number, since it uses less digits than its factorization.

224362128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1318 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 224362128 is about 14978.7225089458. The cubic root of 224362128 is about 607.6448901641.

The spelling of 224362128 in words is "two hundred twenty-four million, three hundred sixty-two thousand, one hundred twenty-eight".