Search a number
-
+
212211621996 = 2231117379249521
BaseRepresentation
bin1100010110100011001…
…1000110000001101100
3202021202101121100122120
43011220303012001230
511434102133400441
6241253315312540
721221542011333
oct3055063060154
9667671540576
10212211621996
1181aa8a23590
12351652ab750
131701c279bca
14a3b1c68d1a
1557c0597966
hex3168cc606c

212211621996 has 96 divisors (see below), whose sum is σ = 573461441280. Its totient is φ = 60363878400.

The previous prime is 212211621943. The next prime is 212211622037. The reversal of 212211621996 is 699126112212.

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, 725716 + ... + 975236.

It is an arithmetic number, because the mean of its divisors is an integer number (5973556680).

Almost surely, 2212211621996 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 212211621996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286730720640).

212211621996 is an abundant number, since it is smaller than the sum of its proper divisors (361249819284).

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

212211621996 is a wasteful number, since it uses less digits than its factorization.

212211621996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249935 (or 249933 counting only the distinct ones).

The product of its digits is 46656, while the sum is 42.

The spelling of 212211621996 in words is "two hundred twelve billion, two hundred eleven million, six hundred twenty-one thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 379 561 748 758 1122 1137 1516 2244 2274 4169 4548 6443 8338 12507 12886 16676 19329 25014 25772 38658 50028 70873 77316 141746 212619 249521 283492 425238 499042 748563 850476 998084 1497126 2744731 2994252 4241857 5489462 8234193 8483714 10978924 12725571 16468386 16967428 25451142 32936772 46660427 50902284 93320854 94568459 139981281 186641708 189136918 279962562 283705377 378273836 559925124 567410754 1040253049 1134821508 1607663803 2080506098 3120759147 3215327606 4161012196 4822991409 6241518294 6430655212 9645982818 12483036588 17684301833 19291965636 35368603666 53052905499 70737207332 106105810998 212211621996