198268224 has 112 divisors (see below), whose sum is σ = 654076416. Its totient is φ = 51494400.

The previous prime is 198268223. The next prime is 198268247. The reversal of 198268224 is 422862891.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×198268224² = 78620577296228352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198268223) 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, 8079 + ... + 21489.

It is an arithmetic number, because the mean of its divisors is an integer number (5839968).

Almost surely, 2^198268224 is an apocalyptic number.

198268224 is a gapful number since it is divisible by the number (14) 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 198268224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327038208).

198268224 is an abundant number, since it is smaller than the sum of its proper divisors (455808192).

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

198268224 is a wasteful number, since it uses less digits than its factorization.

198268224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13444 (or 13434 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 198268224 is about 14080.7749786722. The cubic root of 198268224 is about 583.1107376731.

The spelling of 198268224 in words is "one hundred ninety-eight million, two hundred sixty-eight thousand, two hundred twenty-four".