Search a number
-
+
3322334224 = 2411191277823
BaseRepresentation
bin1100011000000110…
…1100110000010000
322120112120001202201
43012001230300100
523301004143344
61305401052544
7145221242416
oct30601546020
98515501681
103322334224
111455409970
12788787154
1340c402051
142373512b6
15146a154d4
hexc606cc10

3322334224 has 80 divisors (see below), whose sum is σ = 7450951680. Its totient is φ = 1419223680.

The previous prime is 3322334207. The next prime is 3322334227. The reversal of 3322334224 is 4224332233.

It is a super-2 number, since 2×33223342242 = 22075809391923364352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3322334192 and 3322334201.

It is not an unprimeable number, because it can be changed into a prime (3322334227) 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, 420777 + ... + 428599.

It is an arithmetic number, because the mean of its divisors is an integer number (93136896).

Almost surely, 23322334224 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 3322334224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725475840).

3322334224 is an abundant number, since it is smaller than the sum of its proper divisors (4128617456).

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

3322334224 is a wasteful number, since it uses less digits than its factorization.

3322334224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7988 (or 7982 counting only the distinct ones).

The product of its digits is 20736, while the sum is 28.

The square root of 3322334224 is about 57639.6931289541. The cubic root of 3322334224 is about 1492.1567229658.

Adding to 3322334224 its reverse (4224332233), we get a palindrome (7546666457).

The spelling of 3322334224 in words is "three billion, three hundred twenty-two million, three hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 127 152 176 209 254 304 418 508 836 1016 1397 1672 2032 2413 2794 3344 4826 5588 7823 9652 11176 15646 19304 22352 26543 31292 38608 53086 62584 86053 106172 125168 148637 172106 212344 297274 344212 424688 594548 688424 993521 1189096 1376848 1635007 1987042 2378192 3270014 3974084 6540028 7948168 10928731 13080056 15896336 18876899 21857462 26160112 37753798 43714924 75507596 87429848 151015192 174859696 207645889 302030384 415291778 830583556 1661167112 3322334224