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198220110112 = 25411289117209
BaseRepresentation
bin1011100010011011010…
…1101101100100100000
3200221122022002220120201
42320212311231210200
511221423322010422
6231021104514544
720215036064443
oct2704665554440
9627568086521
10198220110112
11770790a2622
12324bb61ba54
13158cc6506ab
14984596165a
15525208e727
hex2e26d6d920

198220110112 has 48 divisors (see below), whose sum is σ = 400077581400. Its totient is φ = 96616898560.

The previous prime is 198220110083. The next prime is 198220110133. The reversal of 198220110112 is 211011022891.

It can be written as a sum of positive squares in 4 ways, for example, as 110625420816 + 87594689296 = 332604^2 + 295964^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1632564 + ... + 1749772.

Almost surely, 2198220110112 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 198220110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200038790700).

198220110112 is an abundant number, since it is smaller than the sum of its proper divisors (201857471288).

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

198220110112 is a wasteful number, since it uses less digits than its factorization.

198220110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118549 (or 118541 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 28.

The spelling of 198220110112 in words is "one hundred ninety-eight billion, two hundred twenty million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1289 1312 2578 5156 10312 20624 41248 52849 105698 117209 211396 234418 422792 468836 845584 937672 1691168 1875344 3750688 4805569 9611138 19222276 38444552 76889104 151082401 153778208 302164802 604329604 1208659208 2417318416 4834636832 6194378441 12388756882 24777513764 49555027528 99110055056 198220110112