233051150332 has 384 divisors, whose sum is σ = 592812380160. Its totient is φ = 77137920000.

The previous prime is 233051150317. The next prime is 233051150351.

233051150332 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 233051150332.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 749360457 + ... + 749360767.

It is an arithmetic number, because the mean of its divisors is an integer number (1543782240).

Almost surely, 2^233051150332 is an apocalyptic number.

233051150332 is a gapful number since it is divisible by the number (22) 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 233051150332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296406190080).

233051150332 is an abundant number, since it is smaller than the sum of its proper divisors (359761229828).

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

233051150332 is a wasteful number, since it uses less digits than its factorization.

233051150332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 28.

It can be divided in two parts, 233051 and 150332, that added together give a palindrome (383383).

The spelling of 233051150332 in words is "two hundred thirty-three billion, fifty-one million, one hundred fifty thousand, three hundred thirty-two".