233200900140 has 192 divisors, whose sum is σ = 710431948800. Its totient is φ = 56813654016.

The previous prime is 233200900139. The next prime is 233200900157. The reversal of 233200900140 is 41009002332.

It is a super-2 number, since 2×233200900140² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 233200900140.

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, 80999221 + ... + 81002099.

It is an arithmetic number, because the mean of its divisors is an integer number (3700166400).

Almost surely, 2^233200900140 is an apocalyptic number.

233200900140 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 233200900140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355215974400).

233200900140 is an abundant number, since it is smaller than the sum of its proper divisors (477231048660).

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

233200900140 is a wasteful number, since it uses less digits than its factorization.

233200900140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3936 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 233200900140 its reverse (41009002332), we get a palindrome (274209902472).

The spelling of 233200900140 in words is "two hundred thirty-three billion, two hundred million, nine hundred thousand, one hundred forty".