233917322500 has 135 divisors (see below), whose sum is σ = 544347096139. Its totient is φ = 87908224000.

The previous prime is 233917322477. The next prime is 233917322503. The reversal of 233917322500 is 5223719332.

The square root of 233917322500 is 483650.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 205547983876 + 28369338624 = 453374^2 + 168432^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 233917322500.

It is not an unprimeable number, because it can be changed into a prime (233917322503) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 411102216 + ... + 411102784.

Almost surely, 2^233917322500 is an apocalyptic number.

233917322500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

233917322500 is the 483650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233917322500

233917322500 is an abundant number, since it is smaller than the sum of its proper divisors (310429773639).

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

233917322500 is an frugal number, since it uses more digits than its factorization.

233917322500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 37.

The spelling of 233917322500 in words is "two hundred thirty-three billion, nine hundred seventeen million, three hundred twenty-two thousand, five hundred".