224805648 has 80 divisors (see below), whose sum is σ = 598461696. Its totient is φ = 72683520.

The previous prime is 224805589. The next prime is 224805661. The reversal of 224805648 is 846508422.

It is a nialpdrome in base 16.

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, 246313 + ... + 247223.

Almost surely, 2^224805648 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 224805648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299230848).

224805648 is an abundant number, since it is smaller than the sum of its proper divisors (373656048).

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

224805648 is a wasteful number, since it uses less digits than its factorization.

224805648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 224805648 is about 14993.5202004066. The cubic root of 224805648 is about 608.0450249436.

The spelling of 224805648 in words is "two hundred twenty-four million, eight hundred five thousand, six hundred forty-eight".