233201402010 has 96 divisors (see below), whose sum is σ = 642509010000. Its totient is φ = 58481639424.

The previous prime is 233201401991. The next prime is 233201402011. The reversal of 233201402010 is 10204102332.

233201402010 is a `hidden beast` number, since 2 + 3 + 320 + 140 + 201 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 152687907009 + 80513495001 = 390753^2 + 283749^2 .

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 (233201402011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1849954 + ... + 1971986.

Almost surely, 2^233201402010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233201402010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321254505000).

233201402010 is an abundant number, since it is smaller than the sum of its proper divisors (409307607990).

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

233201402010 is a wasteful number, since it uses less digits than its factorization.

233201402010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123312 (or 123309 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 233201402010 its reverse (10204102332), we get a palindrome (243405504342).

The spelling of 233201402010 in words is "two hundred thirty-three billion, two hundred one million, four hundred two thousand, ten".