Search a number
-
+
231773256 = 2332111322511
BaseRepresentation
bin11011101000010…
…01010001001000
3121011010022010200
431310021101020
5433313221011
634555412200
75513016531
oct1564112110
9534108120
10231773256
11109914750
1265754060
1339030450
1422ad3688
1515533856
hexdd09448

231773256 has 96 divisors (see below), whose sum is σ = 737493120. Its totient is φ = 64828800.

The previous prime is 231773239. The next prime is 231773263. The reversal of 231773256 is 652377132.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 231773256.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 960 + ... + 21551.

It is an arithmetic number, because the mean of its divisors is an integer number (7682220).

Almost surely, 2231773256 is an apocalyptic number.

231773256 is a gapful number since it is divisible by the number (26) 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 231773256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368746560).

231773256 is an abundant number, since it is smaller than the sum of its proper divisors (505719864).

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

231773256 is a wasteful number, since it uses less digits than its factorization.

231773256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22547 (or 22540 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 231773256 is about 15224.1011557333. The cubic root of 231773256 is about 614.2631190226.

The spelling of 231773256 in words is "two hundred thirty-one million, seven hundred seventy-three thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1287 1716 2574 3432 5148 10296 22511 45022 67533 90044 135066 180088 202599 247621 270132 292643 405198 495242 540264 585286 742863 810396 877929 990484 1170572 1485726 1620792 1755858 1980968 2228589 2341144 2633787 2971452 3219073 3511716 4457178 5267574 5942904 6438146 7023432 8914356 9657219 10535148 12876292 17828712 19314438 21070296 25752584 28971657 38628876 57943314 77257752 115886628 231773256