224130816 has 216 divisors, whose sum is σ = 796097120. Its totient is φ = 59056128.

The previous prime is 224130811. The next prime is 224130853. The reversal of 224130816 is 618031422.

It is a self number, because there is not a number n which added to its sum of digits gives 224130816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224130811) 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, 209130 + ... + 210198.

Almost surely, 2^224130816 is an apocalyptic number.

224130816 is a gapful number since it is divisible by the number (26) 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 224130816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398048560).

224130816 is an abundant number, since it is smaller than the sum of its proper divisors (571966304).

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

224130816 is a wasteful number, since it uses less digits than its factorization.

224130816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 224130816 is about 14970.9991650524. Note that the first 3 decimals coincide. The cubic root of 224130816 is about 607.4359958989.

224130816 divided by its product of nonzero digits (2304) gives a palindrome (97279).

The spelling of 224130816 in words is "two hundred twenty-four million, one hundred thirty thousand, eight hundred sixteen".