198219888 has 120 divisors (see below), whose sum is σ = 585775008. Its totient is φ = 62447616.

The previous prime is 198219883. The next prime is 198219937. The reversal of 198219888 is 888912891.

It is a super-2 number, since 2×198219888² = 78582247997465088, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198219883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320956 + ... + 321572.

Almost surely, 2^198219888 is an apocalyptic number.

198219888 is a gapful number since it is divisible by the number (18) 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 198219888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292887504).

198219888 is an abundant number, since it is smaller than the sum of its proper divisors (387555120).

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

198219888 is a wasteful number, since it uses less digits than its factorization.

198219888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 742 counting only the distinct ones).

The product of its digits is 663552, while the sum is 54.

The square root of 198219888 is about 14079.0584912486. The cubic root of 198219888 is about 583.0633481137.

The spelling of 198219888 in words is "one hundred ninety-eight million, two hundred nineteen thousand, eight hundred eighty-eight".