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3222414 = 2321347293
BaseRepresentation
bin1100010010101110001110
320001201022200
430102232032
51311104124
6153022330
736250536
oct14225616
96051280
103222414
111901058
1210b49a6
1388a970
145dc4c6
15439bc9
hex312b8e

3222414 has 48 divisors (see below), whose sum is σ = 7705152. Its totient is φ = 967104.

The previous prime is 3222413. The next prime is 3222467. The reversal of 3222414 is 4142223.

3222414 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3222413) 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 23 ways as a sum of consecutive naturals, for example, 10852 + ... + 11144.

It is an arithmetic number, because the mean of its divisors is an integer number (160524).

Almost surely, 23222414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3222414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852576).

3222414 is an abundant number, since it is smaller than the sum of its proper divisors (4482738).

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

3222414 is a wasteful number, since it uses less digits than its factorization.

3222414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 358 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 3222414 is about 1795.1083532756. The cubic root of 3222414 is about 147.7045175953.

Adding to 3222414 its reverse (4142223), we get a palindrome (7364637).

The spelling of 3222414 in words is "three million, two hundred twenty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 47 78 94 117 141 234 282 293 423 586 611 846 879 1222 1758 1833 2637 3666 3809 5274 5499 7618 10998 11427 13771 22854 27542 34281 41313 68562 82626 123939 179023 247878 358046 537069 1074138 1611207 3222414