Search a number
-
+
199241112 = 23375920101
BaseRepresentation
bin10111110000000…
…10110110011000
3111212220111102110
423320002312120
5402001203422
631434232320
74636343610
oct1370026630
9455814373
10199241112
11a2514884
12568856a0
133237ca65
141c665a40
151275960c
hexbe02d98

199241112 has 64 divisors (see below), whose sum is σ = 578937600. Its totient is φ = 55958400.

The previous prime is 199241069. The next prime is 199241113. The reversal of 199241112 is 211142991.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 199241112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199241113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139 + ... + 19962.

It is an arithmetic number, because the mean of its divisors is an integer number (9045900).

Almost surely, 2199241112 is an apocalyptic number.

199241112 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 199241112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289468800).

199241112 is an abundant number, since it is smaller than the sum of its proper divisors (379696488).

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

199241112 is a wasteful number, since it uses less digits than its factorization.

199241112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20176 (or 20172 counting only the distinct ones).

The product of its digits is 1296, while the sum is 30.

The square root of 199241112 is about 14115.2793808695. The cubic root of 199241112 is about 584.0629427999.

The spelling of 199241112 in words is "one hundred ninety-nine million, two hundred forty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 168 177 236 354 413 472 708 826 1239 1416 1652 2478 3304 4956 9912 20101 40202 60303 80404 120606 140707 160808 241212 281414 422121 482424 562828 844242 1125656 1185959 1688484 2371918 3376968 3557877 4743836 7115754 8301713 9487672 14231508 16603426 24905139 28463016 33206852 49810278 66413704 99620556 199241112