Search a number
-
+
2433131220 = 2235133738363
BaseRepresentation
bin1001000100000110…
…1010001011010100
320021120100212120010
42101001222023110
514440340144340
61041234240220
7114203163012
oct22101521324
96246325503
102433131220
111039491553
1257aa26070
132ca118c20
141912058b2
15e391cb80
hex9106a2d4

2433131220 has 96 divisors (see below), whose sum is σ = 7357375872. Its totient is φ = 597247488.

The previous prime is 2433131201. The next prime is 2433131257. The reversal of 2433131220 is 221313342.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286759 + ... + 295121.

It is an arithmetic number, because the mean of its divisors is an integer number (76639332).

Almost surely, 22433131220 is an apocalyptic number.

2433131220 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 2433131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3678687936).

2433131220 is an abundant number, since it is smaller than the sum of its proper divisors (4924244652).

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

2433131220 is a wasteful number, since it uses less digits than its factorization.

2433131220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8761 (or 8759 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2433131220 is about 49326.7799476106. The cubic root of 2433131220 is about 1344.9986355435.

Adding to 2433131220 its reverse (221313342), we get a palindrome (2654444562).

The spelling of 2433131220 in words is "two billion, four hundred thirty-three million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 373 390 746 780 1119 1492 1865 2238 3730 4476 4849 5595 7460 8363 9698 11190 14547 16726 19396 22380 24245 25089 29094 33452 41815 48490 50178 58188 72735 83630 96980 100356 108719 125445 145470 167260 217438 250890 290940 326157 434876 501780 543595 652314 1087190 1304628 1630785 2174380 3119399 3261570 6238798 6523140 9358197 12477596 15596995 18716394 31193990 37432788 40552187 46790985 62387980 81104374 93581970 121656561 162208748 187163940 202760935 243313122 405521870 486626244 608282805 811043740 1216565610 2433131220