198242304 has 208 divisors, whose sum is σ = 610983072. Its totient is φ = 56623104.

The previous prime is 198242251. The next prime is 198242327. The reversal of 198242304 is 403242891.

198242304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (208).

It is a super-2 number, since 2×198242304² = 78600022190456832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2715612 + ... + 2715684.

Almost surely, 2^198242304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198242304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305491536).

198242304 is an abundant number, since it is smaller than the sum of its proper divisors (412740768).

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

198242304 is a wasteful number, since it uses less digits than its factorization.

198242304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 198242304 is about 14079.8545447032. The cubic root of 198242304 is about 583.0853261562.

The spelling of 198242304 in words is "one hundred ninety-eight million, two hundred forty-two thousand, three hundred four".