198433200 has 120 divisors (see below), whose sum is σ = 726485248. Its totient is φ = 45354240.

The previous prime is 198433189. The next prime is 198433211. The reversal of 198433200 is 2334891.

It is an interprime number because it is at equal distance from previous prime (198433189) and next prime (198433211).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3412 + ... + 20211.

Almost surely, 2^198433200 is an apocalyptic number.

198433200 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 198433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363242624).

198433200 is an abundant number, since it is smaller than the sum of its proper divisors (528052048).

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

198433200 is a wasteful number, since it uses less digits than its factorization.

198433200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23651 (or 23640 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 198433200 is about 14086.6319608344. The cubic root of 198433200 is about 583.2724253866.

The spelling of 198433200 in words is "one hundred ninety-eight million, four hundred thirty-three thousand, two hundred".