224841816 has 96 divisors (see below), whose sum is σ = 624599040. Its totient is φ = 73047744.

The previous prime is 224841803. The next prime is 224841823. The reversal of 224841816 is 618148422.

224841816 is a `hidden beast` number, since 224 + 8 + 418 + 16 = 666.

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 congruent number.

It is an unprimeable number.

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, 612465 + ... + 612831.

It is an arithmetic number, because the mean of its divisors is an integer number (6506240).

Almost surely, 2^224841816 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 224841816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312299520).

224841816 is an abundant number, since it is smaller than the sum of its proper divisors (399757224).

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

224841816 is a wasteful number, since it uses less digits than its factorization.

224841816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 566 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 224841816 is about 14994.7262729268. The cubic root of 224841816 is about 608.0776317655.

The spelling of 224841816 in words is "two hundred twenty-four million, eight hundred forty-one thousand, eight hundred sixteen".