Search a number
-
+
2143251348 = 22376126857
BaseRepresentation
bin111111110111111…
…0110101110010100
312112100220110010120
41333233312232110
513342133020343
6552401151540
7104053223130
oct17757665624
95470813116
102143251348
119aa89a507
124b992b5b0
13282052584
141649083c0
15c825c683
hex7fbf6b94

2143251348 has 72 divisors (see below), whose sum is σ = 5811414336. Its totient is φ = 602231040.

The previous prime is 2143251323. The next prime is 2143251359. The reversal of 2143251348 is 8431523412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309136 + ... + 315992.

It is an arithmetic number, because the mean of its divisors is an integer number (80714088).

Almost surely, 22143251348 is an apocalyptic number.

2143251348 is a gapful number since it is divisible by the number (28) 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 2143251348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2905707168).

2143251348 is an abundant number, since it is smaller than the sum of its proper divisors (3668162988).

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

2143251348 is a wasteful number, since it uses less digits than its factorization.

2143251348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6993 (or 6930 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 2143251348 is about 46295.2626950102. The cubic root of 2143251348 is about 1289.3110412789.

The spelling of 2143251348 in words is "two billion, one hundred forty-three million, two hundred fifty-one thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 244 366 427 732 854 1281 1708 2562 3721 5124 6857 7442 11163 13714 14884 20571 22326 26047 27428 41142 44652 47999 52094 78141 82284 95998 104188 143997 156282 191996 287994 312564 418277 575988 836554 1254831 1673108 2509662 2927939 5019324 5855878 8783817 11711756 17567634 25514897 35135268 51029794 76544691 102059588 153089382 178604279 306178764 357208558 535812837 714417116 1071625674 2143251348