233002000 has 320 divisors, whose sum is σ = 752094720. Its totient is φ = 67584000.

The previous prime is 233001929. The next prime is 233002001. The reversal of 233002000 is 200332.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (233002001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2617956 + ... + 2618044.

It is an arithmetic number, because the mean of its divisors is an integer number (2350296).

Almost surely, 2^233002000 is an apocalyptic number.

233002000 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 233002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376047360).

233002000 is an abundant number, since it is smaller than the sum of its proper divisors (519092720).

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

233002000 is a wasteful number, since it uses less digits than its factorization.

233002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 233002000 is about 15264.4030345114. The cubic root of 233002000 is about 615.3467100050.

Adding to 233002000 its reverse (200332), we get a palindrome (233202332).

The spelling of 233002000 in words is "two hundred thirty-three million, two thousand".