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8050224 = 2437131997
BaseRepresentation
bin11110101101011000110000
3120010222211110
4132231120300
54030101344
6444313320
7125266020
oct36553060
916128743
108050224
1145a9286
122842840
13188b260
1410d7a80
15a903b9
hex7ad630

8050224 has 160 divisors (see below), whose sum is σ = 27220480. Its totient is φ = 1990656.

The previous prime is 8050213. The next prime is 8050241. The reversal of 8050224 is 4220508.

8050224 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×80502242 = 129612212900352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 8050224.

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, 82944 + ... + 83040.

It is an arithmetic number, because the mean of its divisors is an integer number (170128).

Almost surely, 28050224 is an apocalyptic number.

8050224 is a gapful number since it is divisible by the number (84) 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 8050224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13610240).

8050224 is an abundant number, since it is smaller than the sum of its proper divisors (19170256).

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

8050224 is a wasteful number, since it uses less digits than its factorization.

8050224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 8050224 is about 2837.2916663607. The cubic root of 8050224 is about 200.4176605246.

The spelling of 8050224 in words is "eight million, fifty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 38 39 42 48 52 56 57 76 78 84 91 97 104 112 114 133 152 156 168 182 194 208 228 247 266 273 291 304 312 336 364 388 399 456 494 532 546 582 624 679 728 741 776 798 912 988 1064 1092 1164 1261 1358 1456 1482 1552 1596 1729 1843 1976 2037 2128 2184 2328 2522 2716 2964 3192 3458 3686 3783 3952 4074 4368 4656 5044 5187 5432 5529 5928 6384 6916 7372 7566 8148 8827 10088 10374 10864 11058 11856 12901 13832 14744 15132 16296 17654 20176 20748 22116 23959 25802 26481 27664 29488 30264 32592 35308 38703 41496 44232 47918 51604 52962 60528 70616 71877 77406 82992 88464 95836 103208 105924 141232 143754 154812 167713 191672 206416 211848 287508 309624 335426 383344 423696 503139 575016 619248 670852 1006278 1150032 1341704 2012556 2683408 4025112 8050224