Search a number
-
+
231664320 = 2633526813
BaseRepresentation
bin11011100111011…
…10101011000000
3121010220202201000
431303232223000
5433301224240
634553212000
75512054116
oct1563565300
9533822630
10231664320
1110984a918
1265701000
1338cc29a4
1422aa5ab6
1515511430
hexdceeac0

231664320 has 112 divisors (see below), whose sum is σ = 817290720. Its totient is φ = 61774848.

The previous prime is 231664273. The next prime is 231664337. The reversal of 231664320 is 23466132.

231664320 is a `hidden beast` number, since 2 + 3 + 16 + 643 + 2 + 0 = 666.

It is a super-2 number, since 2×2316643202 = 107336714322124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 4767 + ... + 22046.

Almost surely, 2231664320 is an apocalyptic number.

231664320 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 231664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408645360).

231664320 is an abundant number, since it is smaller than the sum of its proper divisors (585626400).

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

231664320 is a wasteful number, since it uses less digits than its factorization.

231664320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26839 (or 26823 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 231664320 is about 15220.5229870724. The cubic root of 231664320 is about 614.1668671158.

The spelling of 231664320 in words is "two hundred thirty-one million, six hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 26813 53626 80439 107252 134065 160878 214504 241317 268130 321756 402195 429008 482634 536260 643512 723951 804390 858016 965268 1072520 1206585 1287024 1447902 1608780 1716032 1930536 2145040 2413170 2574048 2895804 3217560 3619755 3861072 4290080 4826340 5148096 5791608 6435120 7239510 7722144 8580160 9652680 11583216 12870240 14479020 15444288 19305360 23166432 25740480 28958040 38610720 46332864 57916080 77221440 115832160 231664320