224180448 has 48 divisors (see below), whose sum is σ = 614065536. Its totient is φ = 71477120.

The previous prime is 224180443. The next prime is 224180461. The reversal of 224180448 is 844081422.

224180448 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224180443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48558 + ... + 52973.

It is an arithmetic number, because the mean of its divisors is an integer number (12793032).

Almost surely, 2^224180448 is an apocalyptic number.

It is an amenable number.

224180448 is an abundant number, since it is smaller than the sum of its proper divisors (389885088).

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

224180448 is a wasteful number, since it uses less digits than its factorization.

224180448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101567 (or 101559 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 224180448 is about 14972.6566780916. The cubic root of 224180448 is about 607.4808298918.

The spelling of 224180448 in words is "two hundred twenty-four million, one hundred eighty thousand, four hundred forty-eight".