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231232240 = 24537191409
BaseRepresentation
bin11011100100001…
…01001011110000
3121010002211000001
431302011023300
5433143412430
634540035344
75505304321
oct1562051360
9533084001
10231232240
11109585228
1265532b54
1338ba1115
14229d2448
15154783ca
hexdc852f0

231232240 has 80 divisors (see below), whose sum is σ = 556392960. Its totient is φ = 89303040.

The previous prime is 231232237. The next prime is 231232241. The reversal of 231232240 is 42232132.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231232241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 565156 + ... + 565564.

It is an arithmetic number, because the mean of its divisors is an integer number (6954912).

Almost surely, 2231232240 is an apocalyptic number.

231232240 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 231232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278196480).

231232240 is an abundant number, since it is smaller than the sum of its proper divisors (325160720).

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

231232240 is a wasteful number, since it uses less digits than its factorization.

231232240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 231232240 is about 15206.3223693305. The cubic root of 231232240 is about 613.7847994007.

Adding to 231232240 its reverse (42232132), we get a palindrome (273464372).

The spelling of 231232240 in words is "two hundred thirty-one million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 191 296 370 382 409 592 740 764 818 955 1480 1528 1636 1910 2045 2960 3056 3272 3820 4090 6544 7067 7640 8180 14134 15133 15280 16360 28268 30266 32720 35335 56536 60532 70670 75665 78119 113072 121064 141340 151330 156238 242128 282680 302660 312476 390595 565360 605320 624952 781190 1210640 1249904 1562380 2890403 3124760 5780806 6249520 11561612 14452015 23123224 28904030 46246448 57808060 115616120 231232240