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231116640 = 25351134261
BaseRepresentation
bin11011100011010…
…00111101100000
3121002212221102120
431301220331200
5433131213030
634533344240
75504313306
oct1561507540
9532787376
10231116640
11109506397
1265498080
1338b60611
14229a2276
1515454010
hexdc68f60

231116640 has 96 divisors (see below), whose sum is σ = 734632416. Its totient is φ = 61071360.

The previous prime is 231116621. The next prime is 231116663. The reversal of 231116640 is 46611132.

231116640 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 Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 231116640.

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, 52110 + ... + 56370.

It is an arithmetic number, because the mean of its divisors is an integer number (7652421).

Almost surely, 2231116640 is an apocalyptic number.

231116640 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 231116640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367316208).

231116640 is an abundant number, since it is smaller than the sum of its proper divisors (503515776).

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

231116640 is a wasteful number, since it uses less digits than its factorization.

231116640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4392 (or 4384 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 231116640 is about 15202.5208435970. The cubic root of 231116640 is about 613.6824991476.

Adding to 231116640 its reverse (46611132), we get a palindrome (277727772).

The spelling of 231116640 in words is "two hundred thirty-one million, one hundred sixteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 113 120 160 226 240 339 452 480 565 678 904 1130 1356 1695 1808 2260 2712 3390 3616 4261 4520 5424 6780 8522 9040 10848 12783 13560 17044 18080 21305 25566 27120 34088 42610 51132 54240 63915 68176 85220 102264 127830 136352 170440 204528 255660 340880 409056 481493 511320 681760 962986 1022640 1444479 1925972 2045280 2407465 2888958 3851944 4814930 5777916 7222395 7703888 9629860 11555832 14444790 15407776 19259720 23111664 28889580 38519440 46223328 57779160 77038880 115558320 231116640