198280000 has 70 divisors (see below), whose sum is σ = 491769146. Its totient is φ = 79296000.

The previous prime is 198279997. The next prime is 198280021. The reversal of 198280000 is 82891.

It can be written as a sum of positive squares in 5 ways, for example, as 42928704 + 155351296 = 6552^2 + 12464^2 .

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 9 ways as a sum of consecutive naturals, for example, 37522 + ... + 42478.

Almost surely, 2^198280000 is an apocalyptic number.

198280000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245884573).

198280000 is an abundant number, since it is smaller than the sum of its proper divisors (293489146).

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

198280000 is an frugal number, since it uses more digits than its factorization.

198280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4989 (or 4964 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 198280000 is about 14081.1931312655. The cubic root of 198280000 is about 583.1222819269.

The spelling of 198280000 in words is "one hundred ninety-eight million, two hundred eighty thousand".