224958 has 8 divisors (see below), whose sum is σ = 449928. Its totient is φ = 74984.

The previous prime is 224951. The next prime is 224969. The reversal of 224958 is 859422.

224958 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

224958 is an admirable number.

It is a super-2 number, since 2×224958² = 101212203528, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2¹¹ + 2¹⁷ + 9⁵ + 4² + 5 + 8⁵ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 224958.

It is not an unprimeable number, because it can be changed into a prime (224951) by changing a digit.

224958 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 18741 + ... + 18752.

It is an arithmetic number, because the mean of its divisors is an integer number (56241).

2²²⁴⁹⁵⁸ is an apocalyptic number.

224958 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.

224958 is a wasteful number, since it uses less digits than its factorization.

224958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37498.

The product of its digits is 5760, while the sum is 30.

The square root of 224958 is about 474.2973750718. The cubic root of 224958 is about 60.8182352390.

The spelling of 224958 in words is "two hundred twenty-four thousand, nine hundred fifty-eight".