233413002 has 40 divisors (see below), whose sum is σ = 528927300. Its totient is φ = 76925376.

The previous prime is 233413001. The next prime is 233413013. The reversal of 233413002 is 200314332.

233413002 is a `hidden beast` number, since 23 + 341 + 300 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 226171521 + 7241481 = 15039^2 + 2691^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (233413001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6324 + ... + 22512.

Almost surely, 2^233413002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233413002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264463650).

233413002 is an abundant number, since it is smaller than the sum of its proper divisors (295514298).

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

233413002 is a wasteful number, since it uses less digits than its factorization.

233413002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16292 (or 16283 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 233413002 is about 15277.8598632138. The cubic root of 233413002 is about 615.7083094313.

Adding to 233413002 its reverse (200314332), we get a palindrome (433727334).

The spelling of 233413002 in words is "two hundred thirty-three million, four hundred thirteen thousand, two".