233820000 has 240 divisors, whose sum is σ = 854164080. Its totient is φ = 62208000.

The previous prime is 233819959. The next prime is 233820031. The reversal of 233820000 is 28332.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 539784 + ... + 540216.

It is an arithmetic number, because the mean of its divisors is an integer number (3559017).

Almost surely, 2^233820000 is an apocalyptic number.

233820000 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 233820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427082040).

233820000 is an abundant number, since it is smaller than the sum of its proper divisors (620344080).

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

233820000 is an equidigital number, since it uses as much as digits as its factorization.

233820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 233820000 is about 15291.1739248496. The cubic root of 233820000 is about 616.0659680855.

Adding to 233820000 its reverse (28332), we get a palindrome (233848332).

The spelling of 233820000 in words is "two hundred thirty-three million, eight hundred twenty thousand".