201334000 has 160 divisors (see below), whose sum is σ = 566856576. Its totient is φ = 67737600.

The previous prime is 201333961. The next prime is 201334033. The reversal of 201334000 is 433102.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1021902 + ... + 1022098.

Almost surely, 2^201334000 is an apocalyptic number.

201334000 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 201334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283428288).

201334000 is an abundant number, since it is smaller than the sum of its proper divisors (365522576).

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

201334000 is a wasteful number, since it uses less digits than its factorization.

201334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 201334000 is about 14189.2212612250. The cubic root of 201334000 is about 586.1008807208.

Adding to 201334000 its reverse (433102), we get a palindrome (201767102).

The spelling of 201334000 in words is "two hundred one million, three hundred thirty-four thousand".