Search a number
-
+
2213120112 = 2437171632377
BaseRepresentation
bin1000001111101001…
…1000100001110000
312201020101011001120
42003322120201300
514013024320422
61003334502240
7105562132140
oct20372304160
95636334046
102213120112
11a36280995
12519204980
13293676438
1416dcd4920
15ce45e45c
hex83e98870

2213120112 has 160 divisors (see below), whose sum is σ = 6963697152. Its totient is φ = 591224832.

The previous prime is 2213120089. The next prime is 2213120137. The reversal of 2213120112 is 2110213122.

It is a junction number, because it is equal to n+sod(n) for n = 2213120091 and 2213120100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 929868 + ... + 932244.

Almost surely, 22213120112 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 2213120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481848576).

2213120112 is an abundant number, since it is smaller than the sum of its proper divisors (4750577040).

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

2213120112 is a wasteful number, since it uses less digits than its factorization.

2213120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2213120112 is about 47043.8105599451. The cubic root of 2213120112 is about 1303.1717644461.

Adding to 2213120112 its reverse (2110213122), we get a palindrome (4323333234).

The spelling of 2213120112 in words is "two billion, two hundred thirteen million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 163 168 204 238 272 326 336 357 408 476 489 652 714 816 952 978 1141 1304 1428 1904 1956 2282 2377 2608 2771 2856 3423 3912 4564 4754 5542 5712 6846 7131 7824 8313 9128 9508 11084 13692 14262 16626 16639 18256 19016 19397 22168 27384 28524 33252 33278 38032 38794 40409 44336 49917 54768 57048 58191 66504 66556 77588 80818 99834 114096 116382 121227 133008 133112 155176 161636 199668 232764 242454 266224 282863 310352 323272 387451 399336 465528 484908 565726 646544 774902 798672 848589 931056 969816 1131452 1162353 1549804 1697178 1939632 2262904 2324706 2712157 3099608 3394356 4525808 4649412 5424314 6199216 6586667 6788712 8136471 9298824 10848628 13173334 13577424 16272942 18597648 19760001 21697256 26346668 32545884 39520002 43394512 46106669 52693336 65091768 79040004 92213338 105386672 130183536 138320007 158080008 184426676 276640014 316160016 368853352 553280028 737706704 1106560056 2213120112