198353232 has 320 divisors, whose sum is σ = 728524800. Its totient is φ = 50181120.

The previous prime is 198353209. The next prime is 198353237. The reversal of 198353232 is 232353891.

198353232 is a `hidden beast` number, since 1 + 98 + 3 + 532 + 32 = 666.

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 (198353237) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2228644 + ... + 2228732.

It is an arithmetic number, because the mean of its divisors is an integer number (2276640).

Almost surely, 2^198353232 is an apocalyptic number.

198353232 is a gapful number since it is divisible by the number (12) 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 198353232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364262400).

198353232 is an abundant number, since it is smaller than the sum of its proper divisors (530171568).

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

198353232 is a wasteful number, since it uses less digits than its factorization.

198353232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 179 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 198353232 is about 14083.7932390390. The cubic root of 198353232 is about 583.1940624978.

The spelling of 198353232 in words is "one hundred ninety-eight million, three hundred fifty-three thousand, two hundred thirty-two".