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2196908112 = 2437232711049
BaseRepresentation
bin1000001011110010…
…0010100001010000
312200002212111101010
42002330202201100
513444402024422
61001555210520
7105304260630
oct20274424120
95602774333
102196908112
11a28108643
125138a6a40
132901bb239
1416bab46c0
15ccd0ab0c
hex82f22850

2196908112 has 160 divisors (see below), whose sum is σ = 6799564800. Its totient is φ = 597611520.

The previous prime is 2196908111. The next prime is 2196908123. The reversal of 2196908112 is 2118096912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2196908111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2093764 + ... + 2094812.

It is an arithmetic number, because the mean of its divisors is an integer number (42497280).

Almost surely, 22196908112 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 2196908112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399782400).

2196908112 is an abundant number, since it is smaller than the sum of its proper divisors (4602656688).

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

2196908112 is a wasteful number, since it uses less digits than its factorization.

2196908112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 39.

The square root of 2196908112 is about 46871.1863728666. The cubic root of 2196908112 is about 1299.9818758814.

The spelling of 2196908112 in words is "two billion, one hundred ninety-six million, nine hundred eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 271 276 322 336 368 483 542 552 644 813 966 1049 1084 1104 1288 1626 1897 1932 2098 2168 2576 3147 3252 3794 3864 4196 4336 5691 6233 6294 6504 7343 7588 7728 8392 11382 12466 12588 13008 14686 15176 16784 18699 22029 22764 24127 24932 25176 29372 30352 37398 43631 44058 45528 48254 49864 50352 58744 72381 74796 87262 88116 91056 96508 99728 117488 130893 144762 149592 168889 174524 176232 193016 261786 284279 289524 299184 337778 349048 352464 386032 506667 523572 568558 579048 675556 698096 852837 1013334 1047144 1137116 1158096 1351112 1705674 1989953 2026668 2094288 2274232 2702224 3411348 3979906 4053336 4548464 5969859 6538417 6822696 7959812 8106672 11939718 13076834 13645392 15919624 19615251 23879436 26153668 31839248 39230502 45768919 47758872 52307336 78461004 91537838 95517744 104614672 137306757 156922008 183075676 274613514 313844016 366151352 549227028 732302704 1098454056 2196908112