Search a number
-
+
8225460 = 2232545697
BaseRepresentation
bin11111011000001010110100
3120110220012200
4133120022310
54101203320
6452144500
7126625635
oct37301264
916426180
108225460
114708a01
122908130
13191cc49
14114188c
15ac7290
hex7d82b4

8225460 has 36 divisors (see below), whose sum is σ = 24951108. Its totient is φ = 2193408.

The previous prime is 8225431. The next prime is 8225471. The reversal of 8225460 is 645228.

8225460 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2944656 + 5280804 = 1716^2 + 2298^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22669 + ... + 23028.

Almost surely, 28225460 is an apocalyptic number.

It is an amenable number.

8225460 is an abundant number, since it is smaller than the sum of its proper divisors (16725648).

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

8225460 is a wasteful number, since it uses less digits than its factorization.

8225460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45712 (or 45707 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 8225460 is about 2868.0062761438. The cubic root of 8225460 is about 201.8614545190.

The spelling of 8225460 in words is "eight million, two hundred twenty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 45697 91394 137091 182788 228485 274182 411273 456970 548364 685455 822546 913940 1370910 1645092 2056365 2741820 4112730 8225460