190201200 has 120 divisors (see below), whose sum is σ = 696348288. Its totient is φ = 43472640.

The previous prime is 190201177. The next prime is 190201211. The reversal of 190201200 is 2102091.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 190201200.

It is a congruent 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, 2922 + ... + 19721.

Almost surely, 2^190201200 is an apocalyptic number.

190201200 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 190201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348174144).

190201200 is an abundant number, since it is smaller than the sum of its proper divisors (506147088).

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

190201200 is a wasteful number, since it uses less digits than its factorization.

190201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22671 (or 22660 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 190201200 is about 13791.3451120621. The cubic root of 190201200 is about 575.0925622884.

Adding to 190201200 its reverse (2102091), we get a palindrome (192303291).

The spelling of 190201200 in words is "one hundred ninety million, two hundred one thousand, two hundred".