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231663264 = 2537595843
BaseRepresentation
bin11011100111011…
…10011010100000
3121010220201020220
431303232122200
5433301211024
634553203040
75512051050
oct1563563240
9533821226
10231663264
1110984a048
1265700480
1338cc2371
1422aa5560
1515510e79
hexdcee6a0

231663264 has 96 divisors (see below), whose sum is σ = 706890240. Its totient is φ = 65056512.

The previous prime is 231663203. The next prime is 231663277. The reversal of 231663264 is 462366132.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 36727 + ... + 42569.

It is an arithmetic number, because the mean of its divisors is an integer number (7363440).

Almost surely, 2231663264 is an apocalyptic number.

231663264 is a gapful number since it is divisible by the number (24) 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 231663264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353445120).

231663264 is an abundant number, since it is smaller than the sum of its proper divisors (475226976).

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

231663264 is a wasteful number, since it uses less digits than its factorization.

231663264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5922 (or 5914 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 231663264 is about 15220.4882970291. The cubic root of 231663264 is about 614.1659339247.

The spelling of 231663264 in words is "two hundred thirty-one million, six hundred sixty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 84 96 112 118 168 177 224 236 336 354 413 472 672 708 826 944 1239 1416 1652 1888 2478 2832 3304 4956 5664 5843 6608 9912 11686 13216 17529 19824 23372 35058 39648 40901 46744 70116 81802 93488 122703 140232 163604 186976 245406 280464 327208 344737 490812 560928 654416 689474 981624 1034211 1308832 1378948 1963248 2068422 2413159 2757896 3926496 4136844 4826318 5515792 7239477 8273688 9652636 11031584 14478954 16547376 19305272 28957908 33094752 38610544 57915816 77221088 115831632 231663264