231532224 has 112 divisors (see below), whose sum is σ = 763804416. Its totient is φ = 60134400.

The previous prime is 231532193. The next prime is 231532229. The reversal of 231532224 is 422235132.

231532224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 231532194 and 231532203.

It is not an unprimeable number, because it can be changed into a prime (231532229) 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, 6954 + ... + 22614.

Almost surely, 2^231532224 is an apocalyptic number.

231532224 is a gapful number since it is divisible by the number (24) 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 231532224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381902208).

231532224 is an abundant number, since it is smaller than the sum of its proper divisors (532272192).

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

231532224 is a wasteful number, since it uses less digits than its factorization.

231532224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15694 (or 15684 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 231532224 is about 15216.1829641997. The cubic root of 231532224 is about 614.0501113843.

Adding to 231532224 its reverse (422235132), we get a palindrome (653767356).

It can be divided in two parts, 231 and 532224, that multiplied together give a square (122943744 = 11088²).

The spelling of 231532224 in words is "two hundred thirty-one million, five hundred thirty-two thousand, two hundred twenty-four".