Search a number
-
+
220201201221222 = 2313131246726873251
BaseRepresentation
bin110010000100010110010110…
…011000001011111001100110
31001212200000210022200121110110
4302010112112120023321212
5212330234030003034342
62100155011344033450
764245004020446214
oct6204262630137146
91055600708617413
10220201201221222
11641878945018a1
1220844574902886
1395b3b656c3070
143c53b1b6cdcb4
151a6ce12a76c9c
hexc8459660be66

220201201221222 has 128 divisors (see below), whose sum is σ = 478418725306368. Its totient is φ = 67164074640000.

The previous prime is 220201201221173. The next prime is 220201201221229. The reversal of 220201201221222 is 222122102102022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220201201221229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67733373097 + ... + 67733376347.

It is an arithmetic number, because the mean of its divisors is an integer number (3737646291456).

Almost surely, 2220201201221222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220201201221222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239209362653184).

220201201221222 is an abundant number, since it is smaller than the sum of its proper divisors (258217524085146).

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

220201201221222 is a wasteful number, since it uses less digits than its factorization.

220201201221222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8554.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 220201201221222 its reverse (222122102102022), we get a palindrome (442323303323244).

The spelling of 220201201221222 in words is "two hundred twenty trillion, two hundred one billion, two hundred one million, two hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 131 262 393 786 1703 2467 2687 3251 3406 4934 5109 5374 6502 7401 8061 9753 10218 14802 16122 19506 32071 34931 42263 64142 69862 84526 96213 104793 126789 192426 209586 253578 323177 351997 425881 646354 703994 851762 969531 1055991 1277643 1939062 2111982 2555286 4201301 4575961 5536453 6628829 8020217 8402602 8735437 9151922 11072906 12603903 13257658 13727883 16040434 16609359 17470874 19886487 24060651 25207806 26206311 27455766 33218718 39772974 48121302 52412622 86174777 104262821 113560681 172349554 208525642 227121362 258524331 312788463 340682043 517048662 625576926 681364086 868376599 1050648427 1144342247 1736753198 2101296854 2288684494 2605129797 3151945281 3433026741 5210259594 6303890562 6866053482 11288895787 13658429551 14876449211 21550323079 22577791574 27316859102 29752898422 33866687361 40975288653 43100646158 44629347633 64650969237 67733374722 81950577306 89258695266 129301938474 280154200027 560308400054 840462600081 1680925200162 2823092323349 5646184646698 8469276970047 16938553940094 36700200203537 73400400407074 110100600610611 220201201221222