Search a number
-
+
80022300 = 2235219101139
BaseRepresentation
bin1001100010100…
…00101100011100
312120120112221220
410301100230130
5130441203200
611535053340
71661115111
oct461205434
9176515856
1080022300
1141196a36
1222971250
131376a597
14a8b0908
15705a4a0
hex4c50b1c

80022300 has 144 divisors (see below), whose sum is σ = 247900800. Its totient is φ = 19872000.

The previous prime is 80022289. The next prime is 80022307. The reversal of 80022300 is 322008.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 80022300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80022307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 575631 + ... + 575769.

Almost surely, 280022300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123950400).

80022300 is an abundant number, since it is smaller than the sum of its proper divisors (167878500).

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

80022300 is a wasteful number, since it uses less digits than its factorization.

80022300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 80022300 is about 8945.5184310357. The cubic root of 80022300 is about 430.9269708649.

Adding to 80022300 its reverse (322008), we get a palindrome (80344308).

The spelling of 80022300 in words is "eighty million, twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 101 114 139 150 190 202 228 278 285 300 303 380 404 417 475 505 556 570 606 695 834 950 1010 1140 1212 1390 1425 1515 1668 1900 1919 2020 2085 2525 2641 2780 2850 3030 3475 3838 4170 5050 5282 5700 5757 6060 6950 7575 7676 7923 8340 9595 10100 10425 10564 11514 13205 13900 14039 15150 15846 19190 20850 23028 26410 28078 28785 30300 31692 38380 39615 41700 42117 47975 52820 56156 57570 66025 70195 79230 84234 95950 115140 132050 140390 143925 158460 168468 191900 198075 210585 264100 266741 280780 287850 350975 396150 421170 533482 575700 701950 792300 800223 842340 1052925 1066964 1333705 1403900 1600446 2105850 2667410 3200892 4001115 4211700 5334820 6668525 8002230 13337050 16004460 20005575 26674100 40011150 80022300