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2122211196 = 22327232271613
BaseRepresentation
bin111111001111110…
…0101111101111100
312110220022111110200
41332133211331330
513321241224241
6550330203500
7103406332440
oct17637457574
95426274420
102122211196
11999a29756
124b2883590
1327a896891
14161bcc820
15c64a34b6
hex7e7e5f7c

2122211196 has 144 divisors (see below), whose sum is σ = 6429556224. Its totient is φ = 577070208.

The previous prime is 2122211191. The next prime is 2122211197. The reversal of 2122211196 is 6911122212.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122211191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1314886 + ... + 1316498.

It is an arithmetic number, because the mean of its divisors is an integer number (44649696).

Almost surely, 22122211196 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 2122211196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214778112).

2122211196 is an abundant number, since it is smaller than the sum of its proper divisors (4307345028).

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

2122211196 is a wasteful number, since it uses less digits than its factorization.

2122211196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1875 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 2122211196 is about 46067.4635290462. The cubic root of 2122211196 is about 1285.0781333990.

The spelling of 2122211196 in words is "two billion, one hundred twenty-two million, two hundred eleven thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 227 252 276 322 414 454 483 644 681 828 908 966 1362 1449 1589 1613 1932 2043 2724 2898 3178 3226 4086 4767 4839 5221 5796 6356 6452 8172 9534 9678 10442 11291 14301 14517 15663 19068 19356 20884 22582 28602 29034 31326 33873 36547 37099 45164 46989 57204 58068 62652 67746 73094 74198 93978 101619 109641 111297 135492 146188 148396 187956 203238 219282 222594 259693 328923 333891 366151 406476 438564 445188 519386 657846 667782 732302 779079 1038772 1098453 1315692 1335564 1464604 1558158 2196906 2337237 2563057 3116316 3295359 4393812 4674474 5126114 6590718 7689171 8421473 9348948 10252228 13181436 15378342 16842946 23067513 25264419 30756684 33685892 46135026 50528838 58950311 75793257 92270052 101057676 117900622 151586514 176850933 235801244 303173028 353701866 530552799 707403732 1061105598 2122211196