224884 has 24 divisors (see below), whose sum is σ = 453600. Its totient is φ = 96480.

The previous prime is 224881. The next prime is 224891. The reversal of 224884 is 488422.

224884 = 66² + 67² + ... + 98².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224881) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 702 + ... + 970.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2²²⁴⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

224884 is an abundant number, since it is smaller than the sum of its proper divisors (228716).

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

224884 is a wasteful number, since it uses less digits than its factorization.

224884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 301 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

The square root of 224884 is about 474.2193585251. The cubic root of 224884 is about 60.8115657822.

It can be divided in two parts, 2248 and 84, that added together give a palindrome (2332).

The spelling of 224884 in words is "two hundred twenty-four thousand, eight hundred eighty-four".