198225100 has 108 divisors (see below), whose sum is σ = 482321560. Its totient is φ = 70698240.

The previous prime is 198225077. The next prime is 198225101. The reversal of 198225100 is 1522891.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

198225100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (198225101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10432891 + ... + 10432909.

Almost surely, 2^198225100 is an apocalyptic number.

198225100 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 198225100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241160780).

198225100 is an abundant number, since it is smaller than the sum of its proper divisors (284096460).

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

198225100 is a wasteful number, since it uses less digits than its factorization.

198225100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 198225100 is about 14079.2435876364. The cubic root of 198225100 is about 583.0684584309.

Adding to 198225100 its reverse (1522891), we get a palindrome (199747991).

The spelling of 198225100 in words is "one hundred ninety-eight million, two hundred twenty-five thousand, one hundred".