Search a number
-
+
104422000 = 2453109479
BaseRepresentation
bin1100011100101…
…01101001110000
321021111012001111
412032111221300
5203213001000
614210043104
72405400214
oct616255160
9237435044
10104422000
1153a41881
122ab79494
1318831487
14dc22944
159279cba
hex6395a70

104422000 has 80 divisors (see below), whose sum is σ = 255340800. Its totient is φ = 41299200.

The previous prime is 104421997. The next prime is 104422013. The reversal of 104422000 is 224401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 217761 + ... + 218239.

It is an arithmetic number, because the mean of its divisors is an integer number (3191760).

Almost surely, 2104422000 is an apocalyptic number.

104422000 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 104422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127670400).

104422000 is an abundant number, since it is smaller than the sum of its proper divisors (150918800).

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

104422000 is a wasteful number, since it uses less digits than its factorization.

104422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 104422000 is about 10218.7083332484. The cubic root of 104422000 is about 470.9021453364.

Adding to 104422000 its reverse (224401), we get a palindrome (104646401).

The spelling of 104422000 in words is "one hundred four million, four hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 109 125 200 218 250 400 436 479 500 545 872 958 1000 1090 1744 1916 2000 2180 2395 2725 3832 4360 4790 5450 7664 8720 9580 10900 11975 13625 19160 21800 23950 27250 38320 43600 47900 52211 54500 59875 95800 104422 109000 119750 191600 208844 218000 239500 261055 417688 479000 522110 835376 958000 1044220 1305275 2088440 2610550 4176880 5221100 6526375 10442200 13052750 20884400 26105500 52211000 104422000