224289360 has 120 divisors (see below), whose sum is σ = 758594304. Its totient is φ = 59385600.

The previous prime is 224289337. The next prime is 224289391. The reversal of 224289360 is 63982422.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 107689 + ... + 109751.

Almost surely, 2^224289360 is an apocalyptic number.

224289360 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 224289360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379297152).

224289360 is an abundant number, since it is smaller than the sum of its proper divisors (534304944).

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

224289360 is a wasteful number, since it uses less digits than its factorization.

224289360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 224289360 is about 14976.2932663593. The cubic root of 224289360 is about 607.5791900020.

The spelling of 224289360 in words is "two hundred twenty-four million, two hundred eighty-nine thousand, three hundred sixty".