201823320 has 256 divisors, whose sum is σ = 696729600. Its totient is φ = 46448640.

The previous prime is 201823313. The next prime is 201823373. The reversal of 201823320 is 23328102.

201823320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1589097 + ... + 1589223.

It is an arithmetic number, because the mean of its divisors is an integer number (2721600).

Almost surely, 2^201823320 is an apocalyptic number.

201823320 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 201823320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348364800).

201823320 is an abundant number, since it is smaller than the sum of its proper divisors (494906280).

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

201823320 is a wasteful number, since it uses less digits than its factorization.

201823320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 201823320 is about 14206.4534631272. The cubic root of 201823320 is about 586.5753143457.

The spelling of 201823320 in words is "two hundred one million, eight hundred twenty-three thousand, three hundred twenty".