198922752 has 180 divisors, whose sum is σ = 668593926. Its totient is φ = 56770560.

The previous prime is 198922751. The next prime is 198922777. The reversal of 198922752 is 257229891.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 189778176 + 9144576 = 13776^2 + 3024^2 .

It is a super-2 number, since 2×198922752² = 79140522526507008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 198922698 and 198922707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198922751) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 225352 + ... + 226232.

Almost surely, 2^198922752 is an apocalyptic number.

198922752 is a gapful number since it is divisible by the number (12) 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 198922752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334296963).

198922752 is an abundant number, since it is smaller than the sum of its proper divisors (469671174).

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

198922752 is an equidigital number, since it uses as much as digits as its factorization.

198922752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 893 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 198922752 is about 14103.9977311399. The cubic root of 198922752 is about 583.7516927750.

The spelling of 198922752 in words is "one hundred ninety-eight million, nine hundred twenty-two thousand, seven hundred fifty-two".