Search a number
-
+
22011221220210 = 23252314517328353
BaseRepresentation
bin1010000000100111000110…
…00001011001101101110010
32212221020210212000101221100
411000103203001121231302
510341112440113021320
6114451452044505230
74431154403230455
oct500234301315562
985836725011840
1022011221220210
1170169a7602732
122575b0954b216
13c38859549681
145614c512549c
1528286804e790
hex1404e3059b72

22011221220210 has 96 divisors (see below), whose sum is σ = 59758564364928. Its totient is φ = 5610586291200.

The previous prime is 22011221220193. The next prime is 22011221220223. The reversal of 22011221220210 is 1202212211022.

It is a happy number.

22011221220210 is a `hidden beast` number, since 2 + 2 + 0 + 11 + 221 + 220 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 660607 + ... + 6667746.

It is an arithmetic number, because the mean of its divisors is an integer number (622485045468).

Almost surely, 222011221220210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22011221220210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29879282182464).

22011221220210 is an abundant number, since it is smaller than the sum of its proper divisors (37747343144718).

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

22011221220210 is a wasteful number, since it uses less digits than its factorization.

22011221220210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7329840 (or 7329837 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22011221220210 its reverse (1202212211022), we get a palindrome (23213433431232).

The spelling of 22011221220210 in words is "twenty-two trillion, eleven billion, two hundred twenty-one million, two hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 1451 2070 2902 4353 7255 8706 13059 14510 21765 26118 33373 43530 65295 66746 100119 130590 166865 200238 300357 333730 500595 600714 1001190 1501785 3003570 7328353 14656706 21985059 36641765 43970118 65955177 73283530 109925295 131910354 168552119 219850590 329775885 337104238 505656357 659551770 842760595 1011312714 1516969071 1685521190 2528281785 3033938142 5056563570 7584845355 10633440203 15169690710 21266880406 31900320609 53167201015 63800641218 95700961827 106334402030 159501603045 191401923654 244569124669 319003206090 478504809135 489138249338 733707374007 957009618270 1222845623345 1467414748014 2201122122021 2445691246690 3668536870035 4402244244042 7337073740070 11005610610105 22011221220210