224116704 has 144 divisors (see below), whose sum is σ = 766846080. Its totient is φ = 60652800.

The previous prime is 224116703. The next prime is 224116721. The reversal of 224116704 is 407611422.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224116703) 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, 35379 + ... + 41229.

It is an arithmetic number, because the mean of its divisors is an integer number (5325320).

Almost surely, 2^224116704 is an apocalyptic number.

224116704 is a gapful number since it is divisible by the number (24) 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 224116704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383423040).

224116704 is an abundant number, since it is smaller than the sum of its proper divisors (542729376).

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

224116704 is a wasteful number, since it uses less digits than its factorization.

224116704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5893 (or 5882 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 224116704 is about 14970.5278464054. The cubic root of 224116704 is about 607.4232469206.

The spelling of 224116704 in words is "two hundred twenty-four million, one hundred sixteen thousand, seven hundred four".