Search a number
-
+
221222120210 = 25713437179627
BaseRepresentation
bin1100111000000111011…
…1011010101100010010
3210011000100110002111122
43032001313122230102
512111030330321320
6245343353442242
721661042665410
oct3160167325422
9704010402448
10221222120210
1185902135223
1236a5aa10382
1317b26c64760
14a9c88142b0
155b4b649d25
hex3381ddab12

221222120210 has 128 divisors (see below), whose sum is σ = 508559192064. Its totient is φ = 67420926720.

The previous prime is 221222120179. The next prime is 221222120213. The reversal of 221222120210 is 12021222122.

It is a happy number.

221222120210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (221222120213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2738417 + ... + 2818043.

It is an arithmetic number, because the mean of its divisors is an integer number (3973118688).

Almost surely, 2221222120210 is an apocalyptic number.

221222120210 is an abundant number, since it is smaller than the sum of its proper divisors (287337071854).

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

221222120210 is a wasteful number, since it uses less digits than its factorization.

221222120210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79768.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 221222120210 its reverse (12021222122), we get a palindrome (233243342332).

The spelling of 221222120210 in words is "two hundred twenty-one billion, two hundred twenty-two million, one hundred twenty thousand, two hundred ten".

Divisors: 1 2 5 7 10 13 14 26 35 43 65 70 71 86 91 130 142 182 215 301 355 430 455 497 559 602 710 910 923 994 1118 1505 1846 2485 2795 3010 3053 3913 4615 4970 5590 6106 6461 7826 9230 12922 15265 19565 21371 30530 32305 39130 39689 42742 64610 79378 79627 106855 159254 198445 213710 277823 396890 398135 555646 557389 796270 1035151 1114778 1389115 2070302 2778230 2786945 3423961 5175755 5573890 5653517 6847922 7246057 10351510 11307034 14492114 17119805 23967727 28267585 34239610 36230285 39574619 44511493 47935454 56535170 72460570 73495721 79149238 89022986 119838635 146991442 197873095 222557465 239677270 243101231 311580451 367478605 395746190 445114930 486202462 514470047 623160902 734957210 1028940094 1215506155 1557902255 1701708617 2431012310 2572350235 3115804510 3160316003 3403417234 5144700470 6320632006 8508543085 15801580015 17017086170 22122212021 31603160030 44244424042 110611060105 221222120210