Search a number
-
+
2002123242 = 23273479677
BaseRepresentation
bin111011101010101…
…1111100111101010
312011112100101202200
41313111133213222
513100020420432
6530400241030
7100420524000
oct16725374752
95145311680
102002123242
11938167909
1247a610176
1325ba3b912
1414dc8ca70
15bab81a7c
hex7755f9ea

2002123242 has 96 divisors (see below), whose sum is σ = 5076864000. Its totient is φ = 569997792.

The previous prime is 2002123241. The next prime is 2002123259. The reversal of 2002123242 is 2423212002.

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

It is not an unprimeable number, because it can be changed into a prime (2002123241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2957008 + ... + 2957684.

It is an arithmetic number, because the mean of its divisors is an integer number (52884000).

Almost surely, 22002123242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002123242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538432000).

2002123242 is an abundant number, since it is smaller than the sum of its proper divisors (3074740758).

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

2002123242 is a wasteful number, since it uses less digits than its factorization.

2002123242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2002123242 is about 44745.0918202209. The cubic root of 2002123242 is about 1260.3667450939.

Adding to 2002123242 its reverse (2423212002), we get a palindrome (4425335244).

The spelling of 2002123242 in words is "two billion, two million, one hundred twenty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 479 677 686 882 958 1029 1354 1437 2031 2058 2874 3087 3353 4062 4311 4739 6093 6174 6706 8622 9478 10059 12186 14217 20118 23471 28434 30177 33173 42651 46942 60354 66346 70413 85302 99519 140826 164297 199038 211239 232211 298557 324283 328594 422478 464422 492891 597114 648566 696633 972849 985782 1393266 1478673 1945698 2089899 2269981 2918547 2957346 4179798 4539962 5837094 6809943 13619886 15889867 20429829 31779734 40859658 47669601 95339202 111229069 143008803 222458138 286017606 333687207 667374414 1001061621 2002123242