198322272 has 72 divisors (see below), whose sum is σ = 597168936. Its totient is φ = 62217216.

The previous prime is 198322259. The next prime is 198322273. The reversal of 198322272 is 272223891.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198322273) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 15358 + ... + 25149.

It is an arithmetic number, because the mean of its divisors is an integer number (8294013).

Almost surely, 2^198322272 is an apocalyptic number.

198322272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

198322272 is an abundant number, since it is smaller than the sum of its proper divisors (398846664).

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

198322272 is a wasteful number, since it uses less digits than its factorization.

198322272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40540 (or 40529 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 198322272 is about 14082.6940604417. The cubic root of 198322272 is about 583.1637182688.

The spelling of 198322272 in words is "one hundred ninety-eight million, three hundred twenty-two thousand, two hundred seventy-two".