224980 has 24 divisors (see below), whose sum is σ = 540288. Its totient is φ = 77088.

The previous prime is 224977. The next prime is 224993. The reversal of 224980 is 89422.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 664 + ... + 943.

It is an arithmetic number, because the mean of its divisors is an integer number (22512).

2²²⁴⁹⁸⁰ is an apocalyptic number.

224980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224980 is an abundant number, since it is smaller than the sum of its proper divisors (315308).

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

224980 is a wasteful number, since it uses less digits than its factorization.

224980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 224980 is about 474.3205667057. The cubic root of 224980 is about 60.8202177684.

The spelling of 224980 in words is "two hundred twenty-four thousand, nine hundred eighty".