Search a number
-
+
194798800 = 24527292399
BaseRepresentation
bin10111001110001…
…10010011010000
3111120112210201101
423213012103100
5344332030200
631155114144
74553522350
oct1347062320
9446483641
10194798800
119aa60249
12552a2954
1331485a81
141bc2ab60
151217d26a
hexb9c64d0

194798800 has 120 divisors (see below), whose sum is σ = 553536000. Its totient is φ = 64458240.

The previous prime is 194798783. The next prime is 194798809. The reversal of 194798800 is 8897491.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194798809) 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 23 ways as a sum of consecutive naturals, for example, 80001 + ... + 82399.

It is an arithmetic number, because the mean of its divisors is an integer number (4612800).

Almost surely, 2194798800 is an apocalyptic number.

194798800 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 194798800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276768000).

194798800 is an abundant number, since it is smaller than the sum of its proper divisors (358737200).

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

194798800 is a wasteful number, since it uses less digits than its factorization.

194798800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 46.

The square root of 194798800 is about 13957.0340688844. The cubic root of 194798800 is about 579.6894889657.

The spelling of 194798800 in words is "one hundred ninety-four million, seven hundred ninety-eight thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 29 35 40 50 56 58 70 80 100 112 116 140 145 175 200 203 232 280 290 350 400 406 464 560 580 700 725 812 1015 1160 1400 1450 1624 2030 2320 2399 2800 2900 3248 4060 4798 5075 5800 8120 9596 10150 11600 11995 16240 16793 19192 20300 23990 33586 38384 40600 47980 59975 67172 69571 81200 83965 95960 119950 134344 139142 167930 191920 239900 268688 278284 335860 347855 419825 479800 486997 556568 671720 695710 839650 959600 973994 1113136 1343440 1391420 1679300 1739275 1947988 2434985 2782840 3358600 3478550 3895976 4869970 5565680 6717200 6957100 7791952 9739940 12174925 13914200 19479880 24349850 27828400 38959760 48699700 97399400 194798800