224628 has 12 divisors (see below), whose sum is σ = 524160. Its totient is φ = 74872.

The previous prime is 224617. The next prime is 224629. The reversal of 224628 is 826422.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 224598 and 224607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224629) by changing a digit.

224628 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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9348 + ... + 9371.

It is an arithmetic number, because the mean of its divisors is an integer number (43680).

2²²⁴⁶²⁸ is an apocalyptic number.

It is an amenable number.

224628 is an abundant number, since it is smaller than the sum of its proper divisors (299532).

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

224628 is a wasteful number, since it uses less digits than its factorization.

224628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18726 (or 18724 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 224628 is about 473.9493643840. The cubic root of 224628 is about 60.7884817747.

The spelling of 224628 in words is "two hundred twenty-four thousand, six hundred twenty-eight".