231948288 has 270 divisors, whose sum is σ = 793158002. Its totient is φ = 64880640.

The previous prime is 231948271. The next prime is 231948313. The reversal of 231948288 is 882849132.

It can be written as a sum of positive squares in only one way, i.e., 160579584 + 71368704 = 12672^2 + 8448^2 .

It is a super-2 number, since 2×231948288² = 107600016612261888, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17842170 + ... + 17842182.

Almost surely, 2^231948288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231948288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396579001).

231948288 is an abundant number, since it is smaller than the sum of its proper divisors (561209714).

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

231948288 is a wasteful number, since it uses less digits than its factorization.

231948288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 29 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 231948288 is about 15229.8485875599. The cubic root of 231948288 is about 614.4177078230.

The spelling of 231948288 in words is "two hundred thirty-one million, nine hundred forty-eight thousand, two hundred eighty-eight".