Search a number
-
+
199196200 = 23527263541
BaseRepresentation
bin10111101111101…
…11111000101000
3111212211012211001
423313313320220
5401443234300
631433244344
74636065640
oct1367677050
9455735731
10199196200
11a2494065
12568636b4
1332365498
141c653520
151274b16a
hexbdf7e28

199196200 has 96 divisors (see below), whose sum is σ = 532287360. Its totient is φ = 67910400.

The previous prime is 199196177. The next prime is 199196201. The reversal of 199196200 is 2691991.

It is a self number, because there is not a number n which added to its sum of digits gives 199196200.

It is not an unprimeable number, because it can be changed into a prime (199196201) 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, 367930 + ... + 368470.

It is an arithmetic number, because the mean of its divisors is an integer number (5544660).

Almost surely, 2199196200 is an apocalyptic number.

199196200 is a gapful number since it is divisible by the number (10) 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 199196200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266143680).

199196200 is an abundant number, since it is smaller than the sum of its proper divisors (333091160).

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

199196200 is a wasteful number, since it uses less digits than its factorization.

199196200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 37.

The square root of 199196200 is about 14113.6883910621. The cubic root of 199196200 is about 584.0190539226.

It can be divided in two parts, 199196 and 200, that added together give a triangular number (199396 = T631).

The spelling of 199196200 in words is "one hundred ninety-nine million, one hundred ninety-six thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 263 280 350 526 541 700 1052 1082 1315 1400 1841 2104 2164 2630 2705 3682 3787 4328 5260 5410 6575 7364 7574 9205 10520 10820 13150 13525 14728 15148 18410 18935 21640 26300 27050 30296 36820 37870 46025 52600 54100 73640 75740 92050 94675 108200 142283 151480 184100 189350 284566 368200 378700 569132 711415 757400 995981 1138264 1422830 1991962 2845660 3557075 3983924 4979905 5691320 7114150 7967848 9959810 14228300 19919620 24899525 28456600 39839240 49799050 99598100 199196200