224874 has 36 divisors (see below), whose sum is σ = 542178. Its totient is φ = 66960.

The previous prime is 224869. The next prime is 224881. The reversal of 224874 is 478422.

It can be written as a sum of positive squares in only one way, i.e., 216225 + 8649 = 465^2 + 93^2 .

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 17 ways as a sum of consecutive naturals, for example, 7239 + ... + 7269.

2²²⁴⁸⁷⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271089).

224874 is an abundant number, since it is smaller than the sum of its proper divisors (317304).

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

224874 is a wasteful number, since it uses less digits than its factorization.

224874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 49 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 224874 is about 474.2088147641. The cubic root of 224874 is about 60.8106643920.

The spelling of 224874 in words is "two hundred twenty-four thousand, eight hundred seventy-four".