Search a number
-
+
2113322204 = 2273141431381
BaseRepresentation
bin111110111110110…
…1011110011011100
312110021120220001202
41331331223303130
513312002302304
6545411455032
7103240641140
oct17575536334
95407526052
102113322204
11994a08284
124ab8b7478
13278aa3916
14160957220
15c57e981e
hex7df6bcdc

2113322204 has 96 divisors (see below), whose sum is σ = 4576653312. Its totient is φ = 834624000.

The previous prime is 2113322137. The next prime is 2113322213. The reversal of 2113322204 is 4022233112.

It is a super-4 number, since 4×21133222044 (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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, 1529594 + ... + 1530974.

It is an arithmetic number, because the mean of its divisors is an integer number (47673472).

Almost surely, 22113322204 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 2113322204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288326656).

2113322204 is an abundant number, since it is smaller than the sum of its proper divisors (2463331108).

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

2113322204 is a wasteful number, since it uses less digits than its factorization.

2113322204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2113322204 is about 45970.8843073526. The cubic root of 2113322204 is about 1283.2814169736.

Adding to 2113322204 its reverse (4022233112), we get a palindrome (6135555316).

The spelling of 2113322204 in words is "two billion, one hundred thirteen million, three hundred twenty-two thousand, two hundred four".

Divisors: 1 2 4 7 14 28 31 41 43 62 82 86 124 164 172 217 287 301 434 574 602 868 1148 1204 1271 1333 1381 1763 2542 2666 2762 3526 5084 5332 5524 7052 8897 9331 9667 12341 17794 18662 19334 24682 35588 37324 38668 42811 49364 54653 56621 59383 85622 109306 113242 118766 171244 218612 226484 237532 299677 382571 396347 415681 599354 765142 792694 831362 1198708 1530284 1585388 1662724 1755251 1840873 2434703 3510502 3681746 4869406 7021004 7363492 9738812 12286757 12886111 17042921 24573514 25772222 34085842 49147028 51544444 68171684 75475793 150951586 301903172 528330551 1056661102 2113322204