224252 has 12 divisors (see below), whose sum is σ = 448560. Its totient is φ = 96096.

The previous prime is 224251. The next prime is 224261. The reversal of 224252 is 252422.

224252 is an admirable number.

224252 is a modest number, since divided by 252 gives 224 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 224252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3977 + ... + 4032.

It is an arithmetic number, because the mean of its divisors is an integer number (37380).

2²²⁴²⁵² is an apocalyptic number.

It is an amenable number.

224252 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

224252 is a wasteful number, since it uses less digits than its factorization.

224252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8020 (or 8018 counting only the distinct ones).

The product of its digits is 320, while the sum is 17.

The square root of 224252 is about 473.5525314049. The cubic root of 224252 is about 60.7545453197.

Adding to 224252 its reverse (252422), we get a palindrome (476674).

It can be divided in two parts, 22425 and 2, that multiplied together give a triangular number (44850 = T₂₉₉).

The spelling of 224252 in words is "two hundred twenty-four thousand, two hundred fifty-two".