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3222201312 = 2532117313933
BaseRepresentation
bin1100000000001110…
…1110001111100000
322022120010210020100
43000003232033200
523044340420222
61251422542400
7142564154631
oct30003561740
98276123210
103222201312
1114039375a0
1275b137a00
133c4742bc5
14227d27888
1513cd364ac
hexc00ee3e0

3222201312 has 144 divisors (see below), whose sum is σ = 10133808048. Its totient is φ = 962979840.

The previous prime is 3222201217. The next prime is 3222201313. The reversal of 3222201312 is 2131022223.

It is a tau number, because it is divible by the number of its divisors (144).

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 (3222201313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224298 + ... + 238230.

It is an arithmetic number, because the mean of its divisors is an integer number (70373667).

Almost surely, 23222201312 is an apocalyptic number.

3222201312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3222201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5066904024).

3222201312 is an abundant number, since it is smaller than the sum of its proper divisors (6911606736).

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

3222201312 is a wasteful number, since it uses less digits than its factorization.

3222201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14033 (or 14022 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3222201312 is about 56764.4370358766. The cubic root of 3222201312 is about 1477.0126789189.

Adding to 3222201312 its reverse (2131022223), we get a palindrome (5353223535).

Subtracting from 3222201312 its reverse (2131022223), we obtain a square (1091179089 = 330332).

The spelling of 3222201312 in words is "three billion, two hundred twenty-two million, two hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 73 88 96 99 132 144 146 176 198 219 264 288 292 352 396 438 528 584 657 792 803 876 1056 1168 1314 1584 1606 1752 2336 2409 2628 3168 3212 3504 4818 5256 6424 7008 7227 9636 10512 12848 13933 14454 19272 21024 25696 27866 28908 38544 41799 55732 57816 77088 83598 111464 115632 125397 153263 167196 222928 231264 250794 306526 334392 445856 459789 501588 613052 668784 919578 1003176 1017109 1226104 1337568 1379367 1839156 2006352 2034218 2452208 2758734 3051327 3678312 4012704 4068436 4904416 5517468 6102654 7356624 8136872 9153981 11034936 11188199 12205308 14713248 16273744 18307962 22069872 22376398 24410616 32547488 33564597 36615924 44139744 44752796 48821232 67129194 73231848 89505592 97642464 100693791 134258388 146463696 179011184 201387582 268516776 292927392 358022368 402775164 537033552 805550328 1074067104 1611100656 3222201312