201930080 has 144 divisors (see below), whose sum is σ = 554235696. Its totient is φ = 68935680.

The previous prime is 201930077. The next prime is 201930101. The reversal of 201930080 is 80039102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 508442 + ... + 508838.

It is an arithmetic number, because the mean of its divisors is an integer number (3848859).

Almost surely, 2^201930080 is an apocalyptic number.

201930080 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 201930080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277117848).

201930080 is an abundant number, since it is smaller than the sum of its proper divisors (352305616).

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

201930080 is a wasteful number, since it uses less digits than its factorization.

201930080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 201930080 is about 14210.2104136427. The cubic root of 201930080 is about 586.6787244996.

Adding to 201930080 its reverse (80039102), we get a palindrome (281969182).

The spelling of 201930080 in words is "two hundred one million, nine hundred thirty thousand, eighty".