200975232 has 64 divisors (see below), whose sum is σ = 551093760. Its totient is φ = 64826880.

The previous prime is 200975221. The next prime is 200975233. The reversal of 200975232 is 232579002.

It is a happy number.

200975232 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 (64).

It is a self number, because there is not a number n which added to its sum of digits gives 200975232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200975233) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3463 + ... + 20345.

It is an arithmetic number, because the mean of its divisors is an integer number (8610840).

Almost surely, 2^200975232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200975232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275546880).

200975232 is an abundant number, since it is smaller than the sum of its proper divisors (350118528).

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

200975232 is a wasteful number, since it uses less digits than its factorization.

200975232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16931 (or 16919 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 200975232 is about 14176.5733518365. The cubic root of 200975232 is about 585.7525387214.

The spelling of 200975232 in words is "two hundred million, nine hundred seventy-five thousand, two hundred thirty-two".