200234432000 has 160 divisors (see below), whose sum is σ = 528670359360. Its totient is φ = 75381964800.

The previous prime is 200234431967. The next prime is 200234432009. The reversal of 200234432000 is 234432002.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200234432009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 995981 + ... + 1180019.

It is an arithmetic number, because the mean of its divisors is an integer number (3304189746).

Almost surely, 2^200234432000 is an apocalyptic number.

200234432000 is a gapful number since it is divisible by the number (20) 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 200234432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264335179680).

200234432000 is an abundant number, since it is smaller than the sum of its proper divisors (328435927360).

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

200234432000 is an equidigital number, since it uses as much as digits as its factorization.

200234432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184089 (or 184063 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 200234432000 its reverse (234432002), we get a palindrome (200468864002).

The spelling of 200234432000 in words is "two hundred billion, two hundred thirty-four million, four hundred thirty-two thousand".