Search a number
-
+
8221536 = 253228547
BaseRepresentation
bin11111010111001101100000
3120110200211100
4133113031200
54101042121
6452114400
7126611331
oct37271540
916420740
108221536
114705a64
122905a00
13191b21b
141140288
15ac6026
hex7d7360

8221536 has 36 divisors (see below), whose sum is σ = 23380812. Its totient is φ = 2740416.

The previous prime is 8221513. The next prime is 8221537. The reversal of 8221536 is 6351228.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8221537) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 13986 + ... + 14561.

It is an arithmetic number, because the mean of its divisors is an integer number (649467).

Almost surely, 28221536 is an apocalyptic number.

It is an amenable number.

8221536 is an abundant number, since it is smaller than the sum of its proper divisors (15159276).

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

8221536 is a wasteful number, since it uses less digits than its factorization.

8221536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28563 (or 28552 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 8221536 is about 2867.3220956147. The cubic root of 8221536 is about 201.8293497151.

The spelling of 8221536 in words is "eight million, two hundred twenty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 28547 57094 85641 114188 171282 228376 256923 342564 456752 513846 685128 913504 1027692 1370256 2055384 2740512 4110768 8221536