Search a number
-
+
2243340132 = 22311173193509
BaseRepresentation
bin1000010110110110…
…1010011101100100
312210100020111010120
42011231222131210
514043243341012
61010334321540
7106410035145
oct20555523544
95710214116
102243340132
11a51341710
125273592b0
132999c75c7
14173d1dacc
15d1e2d58c
hex85b6a764

2243340132 has 96 divisors (see below), whose sum is σ = 5784428160. Its totient is φ = 671047680.

The previous prime is 2243340131. The next prime is 2243340139. The reversal of 2243340132 is 2310433422.

2243340132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2243340131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4407094 + ... + 4407602.

It is an arithmetic number, because the mean of its divisors is an integer number (60254460).

Almost surely, 22243340132 is an apocalyptic number.

2243340132 is a gapful number since it is divisible by the number (22) 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 2243340132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892214080).

2243340132 is an abundant number, since it is smaller than the sum of its proper divisors (3541088028).

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

2243340132 is a wasteful number, since it uses less digits than its factorization.

2243340132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2243340132 is about 47363.9117050102. The cubic root of 2243340132 is about 1309.0765459300.

Adding to 2243340132 its reverse (2310433422), we get a palindrome (4553773554).

The spelling of 2243340132 in words is "two billion, two hundred forty-three million, three hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 173 193 346 386 509 519 579 692 772 1018 1038 1158 1527 1903 2036 2076 2123 2316 3054 3806 4246 5599 5709 6108 6369 7612 8492 11198 11418 12738 16797 22396 22836 25476 33389 33594 66778 67188 88057 98237 100167 133556 176114 196474 200334 264171 294711 352228 367279 392948 400668 528342 589422 734558 968627 1056684 1080607 1101837 1178844 1469116 1937254 2161214 2203674 2905881 3241821 3874508 4322428 4407348 5811762 6483642 11623524 12967284 16995001 33990002 50985003 67980004 101970006 186945011 203940012 373890022 560835033 747780044 1121670066 2243340132