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3222144 = 27322797
BaseRepresentation
bin1100010010101010000000
320001200221200
430102222000
51311102034
6153021200
736250002
oct14225200
96050850
103222144
111900932
1210b4800
1388a7c3
145dc372
15439a99
hex312a80

3222144 has 48 divisors (see below), whose sum is σ = 9275370. Its totient is φ = 1073664.

The previous prime is 3222137. The next prime is 3222151. The reversal of 3222144 is 4412223.

It is an interprime number because it is at equal distance from previous prime (3222137) and next prime (3222151).

It can be written as a sum of positive squares in only one way, i.e., 2433600 + 788544 = 1560^2 + 888^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

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 5 ways as a sum of consecutive naturals, for example, 247 + ... + 2550.

Almost surely, 23222144 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 3222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4637685).

3222144 is an abundant number, since it is smaller than the sum of its proper divisors (6053226).

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

3222144 is a wasteful number, since it uses less digits than its factorization.

3222144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817 (or 2802 counting only the distinct ones).

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

The square root of 3222144 is about 1795.0331473263. The cubic root of 3222144 is about 147.7003921857.

Adding to 3222144 its reverse (4412223), we get a palindrome (7634367).

The spelling of 3222144 in words is "three million, two hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2797 5594 8391 11188 16782 22376 25173 33564 44752 50346 67128 89504 100692 134256 179008 201384 268512 358016 402768 537024 805536 1074048 1611072 3222144