224588 has 24 divisors (see below), whose sum is σ = 484512. Its totient is φ = 88704.

The previous prime is 224579. The next prime is 224591. The reversal of 224588 is 885422.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 224588.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56 + ... + 672.

It is an arithmetic number, because the mean of its divisors is an integer number (20188).

2²²⁴⁵⁸⁸ is an apocalyptic number.

224588 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242256).

224588 is an abundant number, since it is smaller than the sum of its proper divisors (259924).

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

224588 is a wasteful number, since it uses less digits than its factorization.

224588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 639 counting only the distinct ones).

The product of its digits is 5120, while the sum is 29.

The square root of 224588 is about 473.9071639045. The cubic root of 224588 is about 60.7848733144.

The spelling of 224588 in words is "two hundred twenty-four thousand, five hundred eighty-eight".