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2198569896 = 2332374120129
BaseRepresentation
bin1000001100001011…
…1000001110101000
312200012222220220200
42003002320032220
514000313214041
61002054552200
7105324351525
oct20302701650
95605886820
102198569896
11a29043116
12514368660
13290650743
1416bdc814c
15cd0381b6
hex830b83a8

2198569896 has 96 divisors (see below), whose sum is σ = 6264858600. Its totient is φ = 695623680.

The previous prime is 2198569873. The next prime is 2198569909. The reversal of 2198569896 is 6989658912.

It can be written as a sum of positive squares in 4 ways, for example, as 2096357796 + 102212100 = 45786^2 + 10110^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99160 + ... + 119288.

Almost surely, 22198569896 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 2198569896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132429300).

2198569896 is an abundant number, since it is smaller than the sum of its proper divisors (4066288704).

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

2198569896 is a wasteful number, since it uses less digits than its factorization.

2198569896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20219 (or 20212 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 63.

The square root of 2198569896 is about 46888.9101600794. The cubic root of 2198569896 is about 1300.3095704572.

The spelling of 2198569896 in words is "two billion, one hundred ninety-eight million, five hundred sixty-nine thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 41 72 74 82 111 123 148 164 222 246 296 328 333 369 444 492 666 738 888 984 1332 1476 1517 2664 2952 3034 4551 6068 9102 12136 13653 18204 20129 27306 36408 40258 54612 60387 80516 109224 120774 161032 181161 241548 362322 483096 724644 744773 825289 1449288 1489546 1650578 2234319 2475867 2979092 3301156 4468638 4951734 5958184 6602312 6702957 7427601 8937276 9903468 13405914 14855202 17874552 19806936 26811828 29710404 30535693 53623656 59420808 61071386 91607079 122142772 183214158 244285544 274821237 366428316 549642474 732856632 1099284948 2198569896