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231115040 = 25513234831
BaseRepresentation
bin11011100011010…
…00100100100000
3121002212212020022
431301220210200
5433131140130
634533333012
75504305532
oct1561504440
9532785208
10231115040
11109505172
1265497168
1338b5c980
14229a1852
15154537e5
hexdc68920

231115040 has 96 divisors (see below), whose sum is σ = 613702656. Its totient is φ = 81607680.

The previous prime is 231115021. The next prime is 231115043. The reversal of 231115040 is 40511132.

It is not an unprimeable number, because it can be changed into a prime (231115043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45425 + ... + 50255.

It is an arithmetic number, because the mean of its divisors is an integer number (6392736).

Almost surely, 2231115040 is an apocalyptic number.

231115040 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 231115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306851328).

231115040 is an abundant number, since it is smaller than the sum of its proper divisors (382587616).

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

231115040 is a wasteful number, since it uses less digits than its factorization.

231115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4882 (or 4874 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 231115040 is about 15202.4682206542. The cubic root of 231115040 is about 613.6810829878.

Adding to 231115040 its reverse (40511132), we get a palindrome (271626172).

The spelling of 231115040 in words is "two hundred thirty-one million, one hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 65 80 92 104 115 130 160 184 208 230 260 299 368 416 460 520 598 736 920 1040 1196 1495 1840 2080 2392 2990 3680 4784 4831 5980 9568 9662 11960 19324 23920 24155 38648 47840 48310 62803 77296 96620 111113 125606 154592 193240 222226 251212 314015 386480 444452 502424 555565 628030 772960 888904 1004848 1111130 1256060 1444469 1777808 2009696 2222260 2512120 2888938 3555616 4444520 5024240 5777876 7222345 8889040 10048480 11555752 14444690 17778080 23111504 28889380 46223008 57778760 115557520 231115040