Search a number
-
+
2312005332 = 2237138923789
BaseRepresentation
bin1000100111001110…
…0110011011010100
312222010110001002010
42021303212123110
514213333132312
61021230144220
7111202502220
oct21163463324
95863401063
102312005332
11a8708090a
12546352070
132aacb96c0
1417d0b5780
15d7e9393c
hex89ce66d4

2312005332 has 96 divisors (see below), whose sum is σ = 6714489600. Its totient is φ = 602883072.

The previous prime is 2312005331. The next prime is 2312005357. The reversal of 2312005332 is 2335002132.

2312005332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2312005299 and 2312005308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312005331) 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, 85294 + ... + 109082.

It is an arithmetic number, because the mean of its divisors is an integer number (69942600).

Almost surely, 22312005332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2312005332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3357244800).

2312005332 is an abundant number, since it is smaller than the sum of its proper divisors (4402484268).

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

2312005332 is a wasteful number, since it uses less digits than its factorization.

2312005332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23905 (or 23903 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 2312005332 is about 48083.3165661438. The cubic root of 2312005332 is about 1322.2988201977.

Adding to 2312005332 its reverse (2335002132), we get a palindrome (4647007464).

The spelling of 2312005332 in words is "two billion, three hundred twelve million, five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 89 91 156 178 182 267 273 356 364 534 546 623 1068 1092 1157 1246 1869 2314 2492 3471 3738 4628 6942 7476 8099 13884 16198 23789 24297 32396 47578 48594 71367 95156 97188 142734 166523 285468 309257 333046 499569 618514 666092 927771 999138 1237028 1855542 1998276 2117221 2164799 3711084 4234442 4329598 6351663 6494397 8468884 8659196 12703326 12988794 14820547 25406652 25977588 27523873 29641094 44461641 55047746 59282188 82571619 88923282 110095492 165143238 177846564 192667111 330286476 385334222 578001333 770668444 1156002666 2312005332