Search a number
-
+
3221166 = 231361677
BaseRepresentation
bin1100010010011010101110
320001122121110
430102122232
51311034131
6153012450
736244104
oct14223256
96048543
103221166
111900123
1210b4126
1388a220
145dbc74
15439646
hex3126ae

3221166 has 32 divisors (see below), whose sum is σ = 7062048. Its totient is φ = 973440.

The previous prime is 3221137. The next prime is 3221167. The reversal of 3221166 is 6611223.

It is a happy number.

3221166 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3221167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4420 + ... + 5096.

It is an arithmetic number, because the mean of its divisors is an integer number (220689).

Almost surely, 23221166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3221166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3531024).

3221166 is an abundant number, since it is smaller than the sum of its proper divisors (3840882).

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

3221166 is a wasteful number, since it uses less digits than its factorization.

3221166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756.

The product of its digits is 432, while the sum is 21.

The square root of 3221166 is about 1794.7607082840. The cubic root of 3221166 is about 147.6854471055.

Adding to 3221166 its reverse (6611223), we get a palindrome (9832389).

The spelling of 3221166 in words is "three million, two hundred twenty-one thousand, one hundred sixty-six".

Divisors: 1 2 3 6 13 26 39 61 78 122 183 366 677 793 1354 1586 2031 2379 4062 4758 8801 17602 26403 41297 52806 82594 123891 247782 536861 1073722 1610583 3221166