199427200 has 192 divisors, whose sum is σ = 584337600. Its totient is φ = 65802240.

The previous prime is 199427191. The next prime is 199427219. The reversal of 199427200 is 2724991.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 649447 + ... + 649753.

It is an arithmetic number, because the mean of its divisors is an integer number (3043425).

Almost surely, 2^199427200 is an apocalyptic number.

199427200 is a gapful number since it is divisible by the number (10) 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 199427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292168800).

199427200 is an abundant number, since it is smaller than the sum of its proper divisors (384910400).

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

199427200 is a wasteful number, since it uses less digits than its factorization.

199427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 199427200 is about 14121.8695646150. The cubic root of 199427200 is about 584.2447213562.

The spelling of 199427200 in words is "one hundred ninety-nine million, four hundred twenty-seven thousand, two hundred".