Search a number
-
+
3222016 = 2972931
BaseRepresentation
bin1100010010101000000000
320001200202221
430102220000
51311101031
6153020424
736246430
oct14225000
96050687
103222016
111900826
1210b4714
1388a725
145dc2c0
15439a11
hex312a00

3222016 has 80 divisors (see below), whose sum is σ = 7856640. Its totient is φ = 1290240.

The previous prime is 3222007. The next prime is 3222031. The reversal of 3222016 is 6102223.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103921 + ... + 103951.

It is an arithmetic number, because the mean of its divisors is an integer number (98208).

Almost surely, 23222016 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 3222016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3928320).

3222016 is an abundant number, since it is smaller than the sum of its proper divisors (4634624).

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

3222016 is an equidigital number, since it uses as much as digits as its factorization.

3222016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3222016 is about 1794.9974930345. The cubic root of 3222016 is about 147.6984363554.

Adding to 3222016 its reverse (6102223), we get a palindrome (9324239).

The spelling of 3222016 in words is "three million, two hundred twenty-two thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 29 31 32 56 58 62 64 112 116 124 128 203 217 224 232 248 256 406 434 448 464 496 512 812 868 896 899 928 992 1624 1736 1792 1798 1856 1984 3248 3472 3584 3596 3712 3968 6293 6496 6944 7192 7424 7936 12586 12992 13888 14384 14848 15872 25172 25984 27776 28768 50344 51968 55552 57536 100688 103936 111104 115072 201376 230144 402752 460288 805504 1611008 3222016