224112480 has 96 divisors (see below), whose sum is σ = 711244800. Its totient is φ = 59315712.

The previous prime is 224112439. The next prime is 224112523. The reversal of 224112480 is 84211422.

224112480 is digitally balanced in base 3, 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 (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 224112480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65041 + ... + 68399.

It is an arithmetic number, because the mean of its divisors is an integer number (7408800).

Almost surely, 2^224112480 is an apocalyptic number.

224112480 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 224112480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355622400).

224112480 is an abundant number, since it is smaller than the sum of its proper divisors (487132320).

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

224112480 is a wasteful number, since it uses less digits than its factorization.

224112480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3516 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 224112480 is about 14970.3867685508. The cubic root of 224112480 is about 607.4194307958.

The spelling of 224112480 in words is "two hundred twenty-four million, one hundred twelve thousand, four hundred eighty".