198964224 has 66 divisors (see below), whose sum is σ = 574531490. Its totient is φ = 66318336.

The previous prime is 198964189. The next prime is 198964229. The reversal of 198964224 is 422469891.

198964224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 167961600 + 31002624 = 12960^2 + 5568^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 198964224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198964229) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1579 + ... + 20010.

Almost surely, 2^198964224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198964224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287265745).

198964224 is an abundant number, since it is smaller than the sum of its proper divisors (375567266).

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

198964224 is a wasteful number, since it uses less digits than its factorization.

198964224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21615 (or 21594 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 198964224 is about 14105.4678759692. The cubic root of 198964224 is about 583.7922573790.

The spelling of 198964224 in words is "one hundred ninety-eight million, nine hundred sixty-four thousand, two hundred twenty-four".