Search a number
-
+
199894014 = 23331432777
BaseRepresentation
bin10111110101000…
…10001111111110
3111221010200001000
423322202033332
5402133102024
631500231130
74645033245
oct1372421776
9457120030
10199894014
11a2920371
1256b3b4a6
133254aca8
141c79595c
1512837cc9
hexbea23fe

199894014 has 64 divisors (see below), whose sum is σ = 469370880. Its totient is φ = 62959680.

The previous prime is 199893997. The next prime is 199894021. The reversal of 199894014 is 410498991.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70594 + ... + 73370.

It is an arithmetic number, because the mean of its divisors is an integer number (7333920).

Almost surely, 2199894014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199894014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234685440).

199894014 is an abundant number, since it is smaller than the sum of its proper divisors (269476866).

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

199894014 is a wasteful number, since it uses less digits than its factorization.

199894014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2862 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 199894014 is about 14138.3879561992. The cubic root of 199894014 is about 584.7002277417.

The spelling of 199894014 in words is "one hundred ninety-nine million, eight hundred ninety-four thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 31 43 54 62 86 93 129 186 258 279 387 558 774 837 1161 1333 1674 2322 2666 2777 3999 5554 7998 8331 11997 16662 23994 24993 35991 49986 71982 74979 86087 119411 149958 172174 238822 258261 358233 516522 716466 774783 1074699 1549566 2149398 2324349 3224097 3701741 4648698 6448194 7403482 11105223 22210446 33315669 66631338 99947007 199894014