233552000 has 128 divisors (see below), whose sum is σ = 633934080. Its totient is φ = 84864000.

The previous prime is 233551999. The next prime is 233552023. The reversal of 233552000 is 255332.

233552000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175337 + ... + 176663.

It is an arithmetic number, because the mean of its divisors is an integer number (4952610).

Almost surely, 2^233552000 is an apocalyptic number.

233552000 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 233552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316967040).

233552000 is an abundant number, since it is smaller than the sum of its proper divisors (400382080).

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

233552000 is a wasteful number, since it uses less digits than its factorization.

233552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 233552000 is about 15282.4081871935. The cubic root of 233552000 is about 615.8305037683.

The spelling of 233552000 in words is "two hundred thirty-three million, five hundred fifty-two thousand".