224494128 has 60 divisors (see below), whose sum is σ = 632548800. Its totient is φ = 74322048.

The previous prime is 224494121. The next prime is 224494141. The reversal of 224494128 is 821494422.

It is a super-2 number, since 2×224494128² = 100795227012960768, which contains 22 as substring.

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 = 224494092 and 224494101.

It is not an unprimeable number, because it can be changed into a prime (224494121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16225 + ... + 26687.

It is an arithmetic number, because the mean of its divisors is an integer number (10542480).

Almost surely, 2^224494128 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 224494128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316274400).

224494128 is an abundant number, since it is smaller than the sum of its proper divisors (408054672).

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

224494128 is a wasteful number, since it uses less digits than its factorization.

224494128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10626 (or 10617 counting only the distinct ones).

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

The square root of 224494128 is about 14983.1281113124. The cubic root of 224494128 is about 607.7640329705.

The spelling of 224494128 in words is "two hundred twenty-four million, four hundred ninety-four thousand, one hundred twenty-eight".