Search a number
-
+
3222656 = 27171481
BaseRepresentation
bin1100010010110010000000
320001201122122
430102302000
51311111111
6153023412
736251333
oct14226200
96051578
103222656
111901258
1210b4b68
1388aac8
145dc61a
15439cdb
hex312c80

3222656 has 32 divisors (see below), whose sum is σ = 6802380. Its totient is φ = 1515520.

The previous prime is 3222643. The next prime is 3222677. The reversal of 3222656 is 6562223.

It can be written as a sum of positive squares in 2 ways, for example, as 3182656 + 40000 = 1784^2 + 200^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 311 + 25 + 213 + 219 + 67 + 59 + 67 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1436 + ... + 2916.

Almost surely, 23222656 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 3222656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401190).

3222656 is an abundant number, since it is smaller than the sum of its proper divisors (3579724).

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

3222656 is a wasteful number, since it uses less digits than its factorization.

3222656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1500 counting only the distinct ones).

The product of its digits is 4320, while the sum is 26.

The square root of 3222656 is about 1795.1757574121. The cubic root of 3222656 is about 147.7082149889.

Adding to 3222656 its reverse (6562223), we get a palindrome (9784879).

The spelling of 3222656 in words is "three million, two hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 1481 2176 2962 5924 11848 23696 25177 47392 50354 94784 100708 189568 201416 402832 805664 1611328 3222656