Search a number
-
+
1022212202220 = 22325114523114143
BaseRepresentation
bin11101110000000001001…
…10000101111011101100
310121201111201121012200100
432320000212011323230
5113221442310432340
62101333043031100
7133565241233046
oct16700046057354
93551451535610
101022212202220
11364577159210
1214614096b490
1375518087b71
1437692464a96
151b8cb80e830
hexee00985eec

1022212202220 has 144 divisors (see below), whose sum is σ = 3383370611712. Its totient is φ = 247752059520.

The previous prime is 1022212202213. The next prime is 1022212202287. The reversal of 1022212202220 is 222022122201.

1022212202220 is a `hidden beast` number, since 1 + 0 + 2 + 221 + 220 + 2 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1022212202193 and 1022212202202.

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, 8898469 + ... + 9012611.

It is an arithmetic number, because the mean of its divisors is an integer number (23495629248).

Almost surely, 21022212202220 is an apocalyptic number.

1022212202220 is a gapful number since it is divisible by the number (10) 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 1022212202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691685305856).

1022212202220 is an abundant number, since it is smaller than the sum of its proper divisors (2361158409492).

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

1022212202220 is a wasteful number, since it uses less digits than its factorization.

1022212202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118692 (or 118687 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1022212202220 its reverse (222022122201), we get a palindrome (1244234324421).

The spelling of 1022212202220 in words is "one trillion, twenty-two billion, two hundred twelve million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 4523 9046 13569 18092 22615 27138 40707 45230 49753 54276 67845 81414 90460 99506 114143 135690 149259 162828 199012 203535 228286 248765 271380 298518 342429 407070 447777 456572 497530 570715 597036 684858 746295 814140 895554 995060 1027287 1141430 1255573 1369716 1492590 1712145 1791108 2054574 2238885 2282860 2511146 2985180 3424290 3766719 4109148 4477770 5022292 5136435 6277865 6848580 7533438 8955540 10272870 11300157 12555730 15066876 18833595 20545740 22600314 25111460 37667190 45200628 56500785 75334380 113001570 226003140 516268789 1032537578 1548806367 2065075156 2581343945 3097612734 4646419101 5162687890 5678956679 6195225468 7744031835 9292838202 10325375780 11357913358 15488063670 17036870037 18585676404 22715826716 23232095505 28394783395 30976127340 34073740074 46464191010 51110610111 56789566790 68147480148 85184350185 92928382020 102221220222 113579133580 170368700370 204442440444 255553050555 340737400740 511106101110 1022212202220