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3222 = 232179

3222 has 12 divisors (see below), whose sum is σ = 7020. Its totient is φ = 1068.

The previous prime is 3221. The next prime is 3229. The reversal of 3222 is 2223.

3222 is nontrivially palindromic in base 8.

3222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

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

It is a plaindrome in base 11.

It is a nialpdrome in base 10 and base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3222.

It is not an unprimeable number, because it can be changed into a prime (3221) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72 + ... + 107.

It is an arithmetic number, because the mean of its divisors is an integer number (585).

3222 is an abundant number, since it is smaller than the sum of its proper divisors (3798).

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

3222 is a wasteful number, since it uses less digits than its factorization.

3222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 184 counting only the distinct ones).

The product of its digits is 24, while the sum is 9.

The square root of 3222 is about 56.7626637853. The cubic root of 3222 is about 14.7698191873.

Adding to 3222 its reverse (2223), we get a palindrome (5445).

Subtracting from 3222 its reverse (2223), we obtain a palindrome (999).

It can be divided in two parts, 322 and 2, that added together give a square (324 = 182).

The spelling of 3222 in words is "three thousand, two hundred twenty-two", and thus it is an iban number.

Divisors: 1 2 3 6 9 18 179 358 537 1074 1611 3222