190942200 has 288 divisors, whose sum is σ = 683616960. Its totient is φ = 47692800.

The previous prime is 190942187. The next prime is 190942201. The reversal of 190942200 is 2249091.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190942201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3130170 + ... + 3130230.

It is an arithmetic number, because the mean of its divisors is an integer number (2373670).

Almost surely, 2^190942200 is an apocalyptic number.

190942200 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 190942200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341808480).

190942200 is an abundant number, since it is smaller than the sum of its proper divisors (492674760).

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

190942200 is a wasteful number, since it uses less digits than its factorization.

190942200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 190942200 is about 13818.1836722487. The cubic root of 190942200 is about 575.8384240086.

The spelling of 190942200 in words is "one hundred ninety million, nine hundred forty-two thousand, two hundred".