233013000 has 256 divisors, whose sum is σ = 830269440. Its totient is φ = 53856000.

The previous prime is 233012993. The next prime is 233013029. The reversal of 233013000 is 310332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 758847 + ... + 759153.

It is an arithmetic number, because the mean of its divisors is an integer number (3243240).

Almost surely, 2^233013000 is an apocalyptic number.

233013000 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 233013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415134720).

233013000 is an abundant number, since it is smaller than the sum of its proper divisors (597256440).

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

233013000 is a wasteful number, since it uses less digits than its factorization.

233013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 233013000 is about 15264.7633456926. The cubic root of 233013000 is about 615.3563933371.

Adding to 233013000 its reverse (310332), we get a palindrome (233323332).

The spelling of 233013000 in words is "two hundred thirty-three million, thirteen thousand".