Search a number
-
+
2112201196 = 2271929791733
BaseRepresentation
bin111110111100101…
…1010000111101100
312110012110221022221
41331321122013230
513311210414241
6545331445124
7103225261660
oct17571320754
95405427287
102112201196
11994312026
124ab4567a4
132787a05c1
141607448a0
15c56775d1
hex7de5a1ec

2112201196 has 96 divisors (see below), whose sum is σ = 4660992000. Its totient is φ = 817060608.

The previous prime is 2112201187. The next prime is 2112201211. The reversal of 2112201196 is 6911022112.

It is a happy number.

It is a super-2 number, since 2×21122011962 = 8922787784767660832, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2112201196.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1217946 + ... + 1219678.

It is an arithmetic number, because the mean of its divisors is an integer number (48552000).

Almost surely, 22112201196 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 2112201196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330496000).

2112201196 is an abundant number, since it is smaller than the sum of its proper divisors (2548790804).

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

2112201196 is a wasteful number, since it uses less digits than its factorization.

2112201196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 2112201196 is about 45958.6901031785. The cubic root of 2112201196 is about 1283.0544720606.

The spelling of 2112201196 in words is "two billion, one hundred twelve million, two hundred one thousand, one hundred ninety-six".

Divisors: 1 2 4 7 14 19 28 29 38 58 76 79 116 133 158 203 266 316 406 532 551 553 812 1102 1106 1501 1733 2204 2212 2291 3002 3466 3857 4582 6004 6932 7714 9164 10507 12131 15428 16037 21014 24262 32074 32927 42028 43529 48524 50257 64148 65854 87058 100514 131708 136907 174116 201028 230489 273814 304703 351799 460978 547628 609406 703598 921956 954883 958349 1218812 1407196 1909766 1916698 2601233 3819532 3833396 3970303 5202466 6684181 7940606 10404932 13368362 15881212 18208631 26736724 27792121 36417262 55584242 72834524 75435757 111168484 150871514 301743028 528050299 1056100598 2112201196