Search a number
-
+
199130112 = 21032173141
BaseRepresentation
bin10111101111001…
…11110000000000
3111212200212011100
423313213300000
5401434130422
631432014400
74635402156
oct1367476000
9455625140
10199130112
11a2449445
1256831400
133234138c
141c6373d6
15127367ac
hexbde7c00

199130112 has 264 divisors, whose sum is σ = 643773312. Its totient is φ = 58982400.

The previous prime is 199130111. The next prime is 199130123. The reversal of 199130112 is 211031991.

199130112 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 (199130111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4856812 + ... + 4856852.

Almost surely, 2199130112 is an apocalyptic number.

199130112 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 199130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321886656).

199130112 is an abundant number, since it is smaller than the sum of its proper divisors (444643200).

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

199130112 is a wasteful number, since it uses less digits than its factorization.

199130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The square root of 199130112 is about 14111.3469236639. The cubic root of 199130112 is about 583.9544594500.

The spelling of 199130112 in words is "one hundred ninety-nine million, one hundred thirty thousand, one hundred twelve".