233848200 has 192 divisors, whose sum is σ = 776289600. Its totient is φ = 58060800.

The previous prime is 233848193. The next prime is 233848217. The reversal of 233848200 is 2848332.

233848200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 832060 + ... + 832340.

It is an arithmetic number, because the mean of its divisors is an integer number (4043175).

Almost surely, 2^233848200 is an apocalyptic number.

233848200 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 233848200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388144800).

233848200 is an abundant number, since it is smaller than the sum of its proper divisors (542441400).

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

233848200 is a wasteful number, since it uses less digits than its factorization.

233848200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 233848200 is about 15292.0959976061. The cubic root of 233848200 is about 616.0907340906.

The spelling of 233848200 in words is "two hundred thirty-three million, eight hundred forty-eight thousand, two hundred".