224085120 has 128 divisors (see below), whose sum is σ = 816359040. Its totient is φ = 51216384.

The previous prime is 224085079. The next prime is 224085157. The reversal of 224085120 is 21580422.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5104 + ... + 21776.

It is an arithmetic number, because the mean of its divisors is an integer number (6377805).

Almost surely, 2^224085120 is an apocalyptic number.

224085120 is a gapful number since it is divisible by the number (20) 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 224085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408179520).

224085120 is an abundant number, since it is smaller than the sum of its proper divisors (592273920).

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

224085120 is a wasteful number, since it uses less digits than its factorization.

224085120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16702 (or 16690 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 224085120 is about 14969.4729366134. The cubic root of 224085120 is about 607.3947115537.

The spelling of 224085120 in words is "two hundred twenty-four million, eighty-five thousand, one hundred twenty".