Search a number
-
+
199066392 = 23327715563
BaseRepresentation
bin10111101110110…
…00001100011000
3111212120121202100
423313120030120
5401430111032
631430403400
74635015330
oct1367301430
9455517670
10199066392
11a2405588
1256800560
133231b385
141c61c0c0
151272297c
hexbdd8318

199066392 has 96 divisors (see below), whose sum is σ = 624948480. Its totient is φ = 56064960.

The previous prime is 199066391. The next prime is 199066433. The reversal of 199066392 is 293660991.

It is a happy number.

199066392 is a `hidden beast` number, since 1 + 9 + 9 + 0 + 6 + 639 + 2 = 666.

199066392 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 (199066391) 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, 33003 + ... + 38565.

It is an arithmetic number, because the mean of its divisors is an integer number (6509880).

Almost surely, 2199066392 is an apocalyptic number.

199066392 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 199066392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312474240).

199066392 is an abundant number, since it is smaller than the sum of its proper divisors (425882088).

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

199066392 is a wasteful number, since it uses less digits than its factorization.

199066392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5653 (or 5646 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 199066392 is about 14109.0889854732. The cubic root of 199066392 is about 583.8921659284.

The spelling of 199066392 in words is "one hundred ninety-nine million, sixty-six thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 71 72 84 126 142 168 213 252 284 426 497 504 568 639 852 994 1278 1491 1704 1988 2556 2982 3976 4473 5112 5563 5964 8946 11126 11928 16689 17892 22252 33378 35784 38941 44504 50067 66756 77882 100134 116823 133512 155764 200268 233646 311528 350469 394973 400536 467292 700938 789946 934584 1184919 1401876 1579892 2369838 2764811 2803752 3159784 3554757 4739676 5529622 7109514 8294433 9479352 11059244 14219028 16588866 22118488 24883299 28438056 33177732 49766598 66355464 99533196 199066392