224055104 has 224 divisors, whose sum is σ = 606283776. Its totient is φ = 79626240.

The previous prime is 224055079. The next prime is 224055107. The reversal of 224055104 is 401550422.

It is a happy number.

224055104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

224055104 is a modest number, since divided by 55104 gives 2240 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 224055104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224055107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3069212 + ... + 3069284.

It is an arithmetic number, because the mean of its divisors is an integer number (2706624).

Almost surely, 2^224055104 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 224055104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303141888).

224055104 is an abundant number, since it is smaller than the sum of its proper divisors (382228672).

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

224055104 is a wasteful number, since it uses less digits than its factorization.

224055104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 224055104 is about 14968.4703293289. The cubic root of 224055104 is about 607.3675903512.

The spelling of 224055104 in words is "two hundred twenty-four million, fifty-five thousand, one hundred four".