233525000 has 48 divisors (see below), whose sum is σ = 547347780. Its totient is φ = 93400000.

The previous prime is 233524981. The next prime is 233525021. The reversal of 233525000 is 525332.

It can be written as a sum of positive squares in 6 ways, for example, as 45670564 + 187854436 = 6758^2 + 13706^2 .

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 11 ways as a sum of consecutive naturals, for example, 20330 + ... + 29670.

Almost surely, 2^233525000 is an apocalyptic number.

233525000 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 233525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273673890).

233525000 is an abundant number, since it is smaller than the sum of its proper divisors (313822780).

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

233525000 is an frugal number, since it uses more digits than its factorization.

233525000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9372 (or 9348 counting only the distinct ones).

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

The square root of 233525000 is about 15281.5247930303. The cubic root of 233525000 is about 615.8067716310.

The spelling of 233525000 in words is "two hundred thirty-three million, five hundred twenty-five thousand".