Search a number
-
+
2313231210 = 23552341389
BaseRepresentation
bin1000100111100001…
…0001101101101010
312222012202022200000
42021320101231222
514214141344320
61021312323430
7111216066213
oct21170215552
95865668600
102313231210
11a87838934
12546843576
132ab328684
1417d31440a
15d8136c90
hex89e11b6a

2313231210 has 96 divisors (see below), whose sum is σ = 6508494720. Its totient is φ = 590027328.

The previous prime is 2313231169. The next prime is 2313231257. The reversal of 2313231210 is 121323132.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35196 + ... + 76584.

It is an arithmetic number, because the mean of its divisors is an integer number (67796820).

Almost surely, 22313231210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2313231210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3254247360).

2313231210 is an abundant number, since it is smaller than the sum of its proper divisors (4195263510).

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

2313231210 is a wasteful number, since it uses less digits than its factorization.

2313231210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41434 (or 41422 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2313231210 is about 48096.0623128339. The cubic root of 2313231210 is about 1322.5324832437.

Adding to 2313231210 its reverse (121323132), we get a palindrome (2434554342).

It can be divided in two parts, 2313231 and 210, that added together give a 4-th power (2313441 = 394).

The spelling of 2313231210 in words is "two billion, three hundred thirteen million, two hundred thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 81 90 115 135 138 162 207 230 243 270 345 405 414 486 621 690 810 1035 1215 1242 1863 2070 2430 3105 3726 5589 6210 9315 11178 18630 27945 41389 55890 82778 124167 206945 248334 372501 413890 620835 745002 951947 1117503 1241670 1862505 1903894 2235006 2855841 3352509 3725010 4759735 5587515 5711682 6705018 8567523 9519470 10057527 11175030 14279205 16762545 17135046 20115054 25702569 28558410 33525090 42837615 50287635 51405138 77107707 85675230 100575270 128512845 154215414 231323121 257025690 385538535 462646242 771077070 1156615605 2313231210