233550000 has 240 divisors, whose sum is σ = 842758560. Its totient is φ = 61920000.

The previous prime is 233549977. The next prime is 233550013. The reversal of 233550000 is 55332.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1349914 + ... + 1350086.

It is an arithmetic number, because the mean of its divisors is an integer number (3511494).

Almost surely, 2^233550000 is an apocalyptic number.

233550000 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 233550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421379280).

233550000 is an abundant number, since it is smaller than the sum of its proper divisors (609208560).

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

233550000 is an equidigital number, since it uses as much as digits as its factorization.

233550000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 233550000 is about 15282.3427523400. The cubic root of 233550000 is about 615.8287458949.

The spelling of 233550000 in words is "two hundred thirty-three million, five hundred fifty thousand".