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8224125 = 353713241
BaseRepresentation
bin11111010111110101111101
3120110211101020
4133113311331
54101133000
6452134353
7126622020
oct37276575
916424336
108224125
1147079a8
1229073b9
13191c460
1411411b7
15ac6ba0
hex7d7d7d

8224125 has 64 divisors (see below), whose sum is σ = 16912896. Its totient is φ = 3456000.

The previous prime is 8224123. The next prime is 8224157. The reversal of 8224125 is 5214228.

8224125 is nontrivially palindromic in base 4.

It is not a de Polignac number, because 8224125 - 21 = 8224123 is a prime.

8224125 is an undulating number in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 8224095 and 8224104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8224121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34005 + ... + 34245.

It is an arithmetic number, because the mean of its divisors is an integer number (264264).

Almost surely, 28224125 is an apocalyptic number.

It is an amenable number.

8224125 is an abundant number, since it is smaller than the sum of its proper divisors (8688771).

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

8224125 is a wasteful number, since it uses less digits than its factorization.

8224125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 269 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The square root of 8224125 is about 2867.7735266230. The cubic root of 8224125 is about 201.8505331593.

The spelling of 8224125 in words is "eight million, two hundred twenty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 65 75 91 105 125 175 195 241 273 325 375 455 525 723 875 975 1205 1365 1625 1687 2275 2625 3133 3615 4875 5061 6025 6825 8435 9399 11375 15665 18075 21931 25305 30125 34125 42175 46995 65793 78325 90375 109655 126525 210875 234975 328965 391625 548275 632625 1174875 1644825 2741375 8224125