198225280 has 128 divisors (see below), whose sum is σ = 531632160. Its totient is φ = 70041600.

The previous prime is 198225263. The next prime is 198225281. The reversal of 198225280 is 82522891.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198225281) 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, 260100 + ... + 260860.

Almost surely, 2^198225280 is an apocalyptic number.

198225280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

198225280 is the 7040-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265816080).

198225280 is an abundant number, since it is smaller than the sum of its proper divisors (333406880).

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

198225280 is a wasteful number, since it uses less digits than its factorization.

198225280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 198225280 is about 14079.2499800238. The cubic root of 198225280 is about 583.0686349176.

The spelling of 198225280 in words is "one hundred ninety-eight million, two hundred twenty-five thousand, two hundred eighty".