189200000 has 192 divisors, whose sum is σ = 525903840. Its totient is φ = 67200000.

The previous prime is 189199991. The next prime is 189200003. The reversal of 189200000 is 2981.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (189200003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4399979 + ... + 4400021.

Almost surely, 2^189200000 is an apocalyptic number.

189200000 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 189200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262951920).

189200000 is an abundant number, since it is smaller than the sum of its proper divisors (336703840).

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

189200000 is an frugal number, since it uses more digits than its factorization.

189200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 189200000 is about 13754.9990912395. Note that the first 3 decimals coincide. The cubic root of 189200000 is about 574.0817100512.

Adding to 189200000 its reverse (2981), we get a palindrome (189202981).

The spelling of 189200000 in words is "one hundred eighty-nine million, two hundred thousand".