233325000 has 288 divisors, whose sum is σ = 850023720. Its totient is φ = 57600000.

The previous prime is 233324969. The next prime is 233325011. The reversal of 233325000 is 523332.

It can be written as a sum of positive squares in 12 ways, for example, as 143568324 + 89756676 = 11982^2 + 9474^2 .

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 71 ways as a sum of consecutive naturals, for example, 3824970 + ... + 3825030.

Almost surely, 2^233325000 is an apocalyptic number.

233325000 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 233325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425011860).

233325000 is an abundant number, since it is smaller than the sum of its proper divisors (616698720).

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

233325000 is a wasteful number, since it uses less digits than its factorization.

233325000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 233325000 is about 15274.9795417212. The cubic root of 233325000 is about 615.6309210352.

Adding to 233325000 its reverse (523332), we get a palindrome (233848332).

The spelling of 233325000 in words is "two hundred thirty-three million, three hundred twenty-five thousand".