224563504 has 80 divisors (see below), whose sum is σ = 497111040. Its totient is φ = 97344000.

The previous prime is 224563487. The next prime is 224563529. The reversal of 224563504 is 405365422.

224563504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 430764 + ... + 431284.

It is an arithmetic number, because the mean of its divisors is an integer number (6213888).

Almost surely, 2^224563504 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 224563504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248555520).

224563504 is an abundant number, since it is smaller than the sum of its proper divisors (272547536).

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

224563504 is a wasteful number, since it uses less digits than its factorization.

224563504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The square root of 224563504 is about 14985.4430698595. The cubic root of 224563504 is about 607.8266328186.

The spelling of 224563504 in words is "two hundred twenty-four million, five hundred sixty-three thousand, five hundred four".