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198262208 = 26233672
BaseRepresentation
bin10111101000100…
…11110111000000
3111211001202121202
423310103313000
5401223342313
631401240332
74625125634
oct1364236700
9454052552
10198262208
11a1a06371
12564930a8
13320c9321
141c48cdc4
1512614558
hexbd13dc0

198262208 has 42 divisors (see below), whose sum is σ = 411653736. Its totient is φ = 94562688.

The previous prime is 198262201. The next prime is 198262217. The reversal of 198262208 is 802262891.

198262208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198262201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 540041 + ... + 540407.

Almost surely, 2198262208 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 198262208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205826868).

198262208 is an abundant number, since it is smaller than the sum of its proper divisors (213391528).

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

198262208 is an frugal number, since it uses more digits than its factorization.

198262208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 198262208 is about 14080.5613524461. The cubic root of 198262208 is about 583.1048398888.

The spelling of 198262208 in words is "one hundred ninety-eight million, two hundred sixty-two thousand, two hundred eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 367 368 734 736 1468 1472 2936 5872 8441 11744 16882 23488 33764 67528 134689 135056 269378 270112 538756 540224 1077512 2155024 3097847 4310048 6195694 8620096 12391388 24782776 49565552 99131104 198262208