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199898592 = 25319310789
BaseRepresentation
bin10111110101000…
…11010111100000
3111221010220022120
423322203113200
5402133223332
631500304240
74645052505
oct1372432740
9457126276
10199898592
11a2923853
1256b42080
13325500ba
141c7974ac
151283932c
hexbea35e0

199898592 has 48 divisors (see below), whose sum is σ = 527501520. Its totient is φ = 66281472.

The previous prime is 199898591. The next prime is 199898599. The reversal of 199898592 is 295898991.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199898591) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13134 + ... + 23922.

It is an arithmetic number, because the mean of its divisors is an integer number (10989615).

Almost surely, 2199898592 is an apocalyptic number.

199898592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199898592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263750760).

199898592 is an abundant number, since it is smaller than the sum of its proper divisors (327602928).

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

199898592 is a wasteful number, since it uses less digits than its factorization.

199898592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10995 (or 10987 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 60.

The square root of 199898592 is about 14138.5498549179. The cubic root of 199898592 is about 584.7046913357.

The spelling of 199898592 in words is "one hundred ninety-nine million, eight hundred ninety-eight thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 193 386 579 772 1158 1544 2316 3088 4632 6176 9264 10789 18528 21578 32367 43156 64734 86312 129468 172624 258936 345248 517872 1035744 2082277 4164554 6246831 8329108 12493662 16658216 24987324 33316432 49974648 66632864 99949296 199898592