196227200 has 192 divisors, whose sum is σ = 537856200. Its totient is φ = 70287360.

The previous prime is 196227197. The next prime is 196227221. The reversal of 196227200 is 2722691.

It can be written as a sum of positive squares in 12 ways, for example, as 3136 + 196224064 = 56^2 + 14008^2 .

It is a super-2 number, since 2×196227200² = 77010228039680000, which contains 22 as substring.

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, 2204756 + ... + 2204844.

Almost surely, 2^196227200 is an apocalyptic number.

196227200 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 196227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268928100).

196227200 is an abundant number, since it is smaller than the sum of its proper divisors (341629000).

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

196227200 is a wasteful number, since it uses less digits than its factorization.

196227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 196227200 is about 14008.1119355893. Note that the first 3 decimals coincide. The cubic root of 196227200 is about 581.1029350061.

Adding to 196227200 its reverse (2722691), we get a palindrome (198949891).

The spelling of 196227200 in words is "one hundred ninety-six million, two hundred twenty-seven thousand, two hundred".