189217200 has 240 divisors, whose sum is σ = 656247680. Its totient is φ = 46448640.

The previous prime is 189217183. The next prime is 189217207. The reversal of 189217200 is 2712981.

189217200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (189217207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 980304 + ... + 980496.

Almost surely, 2^189217200 is an apocalyptic number.

189217200 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 189217200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328123840).

189217200 is an abundant number, since it is smaller than the sum of its proper divisors (467030480).

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

189217200 is a wasteful number, since it uses less digits than its factorization.

189217200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 189217200 is about 13755.6243042619. The cubic root of 189217200 is about 574.0991059395.

The spelling of 189217200 in words is "one hundred eighty-nine million, two hundred seventeen thousand, two hundred".