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231011040 = 25351337021
BaseRepresentation
bin11011100010011…
…11001011100000
3121002200120120110
431301033023200
5433114323130
634531211320
75503363401
oct1561171340
9532616513
10231011040
11109444017
1265446b40
1338b24530
14229759a8
1515432ab0
hexdc4f2e0

231011040 has 96 divisors (see below), whose sum is σ = 783681696. Its totient is φ = 56862720.

The previous prime is 231011023. The next prime is 231011069. The reversal of 231011040 is 40110132.

It is a happy number.

231011040 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 (96).

It is a super-2 number, since 2×2310110402 = 106732201203763200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12271 + ... + 24750.

It is an arithmetic number, because the mean of its divisors is an integer number (8163351).

Almost surely, 2231011040 is an apocalyptic number.

231011040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231011040 is an abundant number, since it is smaller than the sum of its proper divisors (552670656).

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

231011040 is a wasteful number, since it uses less digits than its factorization.

231011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37052 (or 37044 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 231011040 is about 15199.0473385670. The cubic root of 231011040 is about 613.5890185794.

Adding to 231011040 its reverse (40110132), we get a palindrome (271121172).

The spelling of 231011040 in words is "two hundred thirty-one million, eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 37021 74042 111063 148084 185105 222126 296168 370210 444252 481273 555315 592336 740420 888504 962546 1110630 1184672 1443819 1480840 1777008 1925092 2221260 2406365 2887638 2961680 3554016 3850184 4442520 4812730 5775276 5923360 7219095 7700368 8885040 9625460 11550552 14438190 15400736 17770080 19250920 23101104 28876380 38501840 46202208 57752760 77003680 115505520 231011040