198217000 has 64 divisors (see below), whose sum is σ = 465940800. Its totient is φ = 78926400.

The previous prime is 198216947. The next prime is 198217009. The reversal of 198217000 is 712891.

It is a self number, because there is not a number n which added to its sum of digits gives 198217000.

It is not an unprimeable number, because it can be changed into a prime (198217009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378739 + ... + 379261.

It is an arithmetic number, because the mean of its divisors is an integer number (7280325).

Almost surely, 2^198217000 is an apocalyptic number.

198217000 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 198217000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232970400).

198217000 is an abundant number, since it is smaller than the sum of its proper divisors (267723800).

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

198217000 is a wasteful number, since it uses less digits than its factorization.

198217000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 198217000 is about 14078.9559271986. The cubic root of 198217000 is about 583.0605164181.

Adding to 198217000 its reverse (712891), we get a palindrome (198929891).

The spelling of 198217000 in words is "one hundred ninety-eight million, two hundred seventeen thousand".