201330000 has 150 divisors (see below), whose sum is σ = 704394834. Its totient is φ = 53664000.

The previous prime is 201329993. The next prime is 201330001. The reversal of 201330000 is 33102.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 49449024 + 151880976 = 7032^2 + 12324^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201330001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 88882 + ... + 91118.

Almost surely, 2^201330000 is an apocalyptic number.

201330000 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 201330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352197417).

201330000 is an abundant number, since it is smaller than the sum of its proper divisors (503064834).

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

201330000 is a wasteful number, since it uses less digits than its factorization.

201330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 201330000 is about 14189.0803084626. The cubic root of 201330000 is about 586.0969992451.

Adding to 201330000 its reverse (33102), we get a palindrome (201363102).

The spelling of 201330000 in words is "two hundred one million, three hundred thirty thousand".