231888880 has 80 divisors (see below), whose sum is σ = 556616160. Its totient is φ = 89800704.

The previous prime is 231888847. The next prime is 231888883. The reversal of 231888880 is 88888132.

231888880 is a nontrivial binomial coefficient, being equal to C(21536, 2).

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 231888880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231888883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344224 + ... + 344896.

It is an arithmetic number, because the mean of its divisors is an integer number (6957702).

Almost surely, 2^231888880 is an apocalyptic number.

231888880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

231888880 is the 21535-th triangular number and also the 10768-th hexagonal number.

231888880 is the 7179-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231888880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278308080).

231888880 is an abundant number, since it is smaller than the sum of its proper divisors (324727280).

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

231888880 is a wasteful number, since it uses less digits than its factorization.

231888880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 46.

The square root of 231888880 is about 15227.8980821386. The cubic root of 231888880 is about 614.3652472160.

It can be divided in two parts, 231 and 888880, that added together give a triangular number (889111 = T₁₃₃₃).

The spelling of 231888880 in words is "two hundred thirty-one million, eight hundred eighty-eight thousand, eight hundred eighty".