198133312 has 28 divisors (see below), whose sum is σ = 423416476. Its totient is φ = 91445760.

The previous prime is 198133301. The next prime is 198133337. The reversal of 198133312 is 213331891.

It can be written as a sum of positive squares in 2 ways, for example, as 116122176 + 82011136 = 10776^2 + 9056^2 .

It is a super-3 number, since 3×198133312³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable 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, 118239 + ... + 119902.

It is an arithmetic number, because the mean of its divisors is an integer number (15122017).

Almost surely, 2^198133312 is an apocalyptic number.

It is an amenable number.

198133312 is an abundant number, since it is smaller than the sum of its proper divisors (225283164).

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

198133312 is a wasteful number, since it uses less digits than its factorization.

198133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238166 (or 238156 counting only the distinct ones).

The product of its digits is 3888, while the sum is 31.

The square root of 198133312 is about 14075.9835180352. The cubic root of 198133312 is about 582.9784480498.

The spelling of 198133312 in words is "one hundred ninety-eight million, one hundred thirty-three thousand, three hundred twelve".