198224 has 20 divisors (see below), whose sum is σ = 414036. Its totient is φ = 91392.

The previous prime is 198223. The next prime is 198241. The reversal of 198224 is 422891.

198224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 53824 + 144400 = 232^2 + 380^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 198193 and 198202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 269 + ... + 684.

2¹⁹⁸²²⁴ is an apocalyptic number.

It is an amenable number.

198224 is an abundant number, since it is smaller than the sum of its proper divisors (215812).

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

198224 is a wasteful number, since it uses less digits than its factorization.

198224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 968 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 198224 is about 445.2235393597. The cubic root of 198224 is about 58.3067379899.

The spelling of 198224 in words is "one hundred ninety-eight thousand, two hundred twenty-four".