Search a number
-
+
3322220013210 = 2357109937154897
BaseRepresentation
bin110000010110000011101…
…111100110011010011010
3102202121020020001221001110
4300112003233212122122
5413412401310410320
611022112400401150
7462010465115160
oct60260357463232
912677206057043
103322220013210
111070a4465085a
12457a509161b6
131b138cc54207
14b6b210cb230
155b6429e05e0
hex30583be669a

3322220013210 has 128 divisors (see below), whose sum is σ = 9205848368640. Its totient is φ = 751590088704.

The previous prime is 3322220013199. The next prime is 3322220013241. The reversal of 3322220013210 is 123100222233.

It is a happy number.

3322220013210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33222200132102 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21370482 + ... + 21525378.

It is an arithmetic number, because the mean of its divisors is an integer number (71920690380).

Almost surely, 23322220013210 is an apocalyptic number.

3322220013210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3322220013210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4602924184320).

3322220013210 is an abundant number, since it is smaller than the sum of its proper divisors (5883628355430).

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

3322220013210 is a wasteful number, since it uses less digits than its factorization.

3322220013210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155960.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 3322220013210 its reverse (123100222233), we get a palindrome (3445320235443).

The spelling of 3322220013210 in words is "three trillion, three hundred twenty-two billion, two hundred twenty million, thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 109 210 218 327 545 654 763 937 1090 1526 1635 1874 2289 2811 3270 3815 4578 4685 5622 6559 7630 9370 11445 13118 14055 19677 22890 28110 32795 39354 65590 98385 102133 154897 196770 204266 306399 309794 464691 510665 612798 714931 774485 929382 1021330 1084279 1429862 1531995 1548970 2144793 2168558 2323455 3063990 3252837 3574655 4289586 4646910 5421395 6505674 7149310 10723965 10842790 16264185 16883773 21447930 32528370 33767546 50651319 84418865 101302638 118186411 145138489 168837730 236372822 253256595 290276978 354559233 435415467 506513190 590932055 709118466 725692445 870830934 1015969423 1181864110 1451384890 1772796165 2031938846 2177077335 3047908269 3545592330 4354154670 5079847115 6095816538 10159694230 15239541345 15820095301 30479082690 31640190602 47460285903 79100476505 94920571806 110740667107 158200953010 221481334214 237301429515 332222001321 474602859030 553703335535 664444002642 1107406671070 1661110006605 3322220013210