198145220 has 144 divisors (see below), whose sum is σ = 529820928. Its totient is φ = 61689600.

The previous prime is 198145219. The next prime is 198145223. The reversal of 198145220 is 22541891.

It is a super-3 number, since 3×198145220³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (198145223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1312145 + ... + 1312295.

It is an arithmetic number, because the mean of its divisors is an integer number (3679312).

Almost surely, 2^198145220 is an apocalyptic number.

198145220 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 198145220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264910464).

198145220 is an abundant number, since it is smaller than the sum of its proper divisors (331675708).

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

198145220 is a wasteful number, since it uses less digits than its factorization.

198145220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 198145220 is about 14076.4065016609. The cubic root of 198145220 is about 582.9901270018.

The spelling of 198145220 in words is "one hundred ninety-eight million, one hundred forty-five thousand, two hundred twenty".