224094816 has 384 divisors, whose sum is σ = 805593600. Its totient is φ = 59719680.

The previous prime is 224094811. The next prime is 224094817. The reversal of 224094816 is 618490422.

224094816 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224094811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3069756 + ... + 3069828.

It is an arithmetic number, because the mean of its divisors is an integer number (2097900).

Almost surely, 2^224094816 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 224094816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402796800).

224094816 is an abundant number, since it is smaller than the sum of its proper divisors (581498784).

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

224094816 is a wasteful number, since it uses less digits than its factorization.

224094816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 224094816 is about 14969.7967922080. The cubic root of 224094816 is about 607.4034719364.

It can be divided in two parts, 22409 and 4816, that added together give a square (27225 = 165²).

The spelling of 224094816 in words is "two hundred twenty-four million, ninety-four thousand, eight hundred sixteen".