Search a number
-
+
2201146134 = 2311317871367
BaseRepresentation
bin1000001100110010…
…1101001100010110
312200101211210211220
42003030231030112
514001443134014
61002230111210
7105355301445
oct20314551426
95611753756
102201146134
11a2a542740
125151ab506
13291043245
1416c498d5c
15cd3966a9
hex8332d316

2201146134 has 64 divisors (see below), whose sum is σ = 4967350272. Its totient is φ = 644205600.

The previous prime is 2201146063. The next prime is 2201146163. The reversal of 2201146134 is 4316411022.

It is a Curzon number.

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, 1609519 + ... + 1610885.

It is an arithmetic number, because the mean of its divisors is an integer number (77614848).

Almost surely, 22201146134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201146134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483675136).

2201146134 is an abundant number, since it is smaller than the sum of its proper divisors (2766204138).

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

2201146134 is a wasteful number, since it uses less digits than its factorization.

2201146134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2201146134 is about 46916.3738368600. The cubic root of 2201146134 is about 1300.8172640166.

Adding to 2201146134 its reverse (4316411022), we get a palindrome (6517557156).

The spelling of 2201146134 in words is "two billion, two hundred one million, one hundred forty-six thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 787 1023 1367 1574 2046 2361 2734 4101 4722 8202 8657 15037 17314 24397 25971 30074 42377 45111 48794 51942 73191 84754 90222 127131 146382 254262 268367 466147 536734 805101 932294 1075829 1398441 1610202 2151658 2796882 3227487 6454974 11834119 23668238 33350699 35502357 66701398 71004714 100052097 200104194 366857689 733715378 1100573067 2201146134