200032000 has 288 divisors, whose sum is σ = 612218880. Its totient is φ = 63590400.

The previous prime is 200031991. The next prime is 200032003. The reversal of 200032000 is 230002.

200032000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200032003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4255977 + ... + 4256023.

It is an arithmetic number, because the mean of its divisors is an integer number (2125760).

Almost surely, 2^200032000 is an apocalyptic number.

200032000 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 200032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306109440).

200032000 is an abundant number, since it is smaller than the sum of its proper divisors (412186880).

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

200032000 is an equidigital number, since it uses as much as digits as its factorization.

200032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 200032000 is about 14143.2669493296. The cubic root of 200032000 is about 584.8347355018.

Adding to 200032000 its reverse (230002), we get a palindrome (200262002).

It can be divided in two parts, 2000 and 32000, that multiplied together give a 6-th power (64000000 = 20⁶).

The spelling of 200032000 in words is "two hundred million, thirty-two thousand".