Search a number
-
+
22010002102220 = 22511223533374149
BaseRepresentation
bin1010000000100100110100…
…10110110101011111001100
32212221010122220000210110012
411000102122112311133030
510341102441014232340
6114451131054532352
74431112241005556
oct500223226653714
985833586023405
1022010002102220
117016431429300
1225758292070b8
13c386c3ac0392
1456140b25a4d6
152827e5ed9565
hex14049a5b57cc

22010002102220 has 144 divisors (see below), whose sum is σ = 53024470430400. Its totient is φ = 7654114152960.

The previous prime is 22010002102181. The next prime is 22010002102261. The reversal of 22010002102220 is 2220120001022.

It is a junction number, because it is equal to n+sod(n) for n = 22010002102195 and 22010002102204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296797706 + ... + 296871854.

It is an arithmetic number, because the mean of its divisors is an integer number (368225489100).

Almost surely, 222010002102220 is an apocalyptic number.

22010002102220 is a gapful number since it is divisible by the number (20) 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 22010002102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26512235215200).

22010002102220 is an abundant number, since it is smaller than the sum of its proper divisors (31014468328180).

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

22010002102220 is a wasteful number, since it uses less digits than its factorization.

22010002102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79536 (or 79523 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22010002102220 its reverse (2220120001022), we get a palindrome (24230122103242).

The spelling of 22010002102220 in words is "twenty-two trillion, ten billion, two million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 121 220 230 242 253 460 484 506 605 1012 1210 1265 2420 2530 2783 5060 5333 5566 10666 11132 13915 21332 26665 27830 53330 55660 58663 74149 106660 117326 122659 148298 234652 245318 293315 296596 370745 490636 586630 613295 645293 741490 815639 1173260 1226590 1290586 1349249 1482980 1631278 1705427 2453180 2581172 2698498 3226465 3262556 3410854 4078195 5396996 6452930 6746245 6821708 8156390 8527135 8972029 12905860 13492490 14841739 16312780 17054270 17944058 18759697 26984980 29683478 34108540 35888116 37519394 44860145 59366956 74208695 75038788 89720290 93798485 148417390 179440580 187596970 206356667 296834780 375193940 395436617 412713334 790873234 825426668 1031783335 1581746468 1977183085 2063566670 3954366170 4127133340 4349802787 7908732340 8699605574 9095042191 17399211148 18190084382 21749013935 36380168764 43498027870 45475210955 47847830657 86996055740 90950421910 95695661314 100045464101 181900843820 191391322628 200090928202 239239153285 400181856404 478478306570 500227320505 956956613140 1000454641010 1100500105111 2000909282020 2201000210222 4402000420444 5502500525555 11005001051110 22010002102220