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211222444220 = 225176173139511
BaseRepresentation
bin1100010010110111010…
…1101011100010111100
3202012012110021220211122
43010231311223202330
511430040421203340
6241011222010112
721155201103164
oct3045565534274
9665173256748
10211222444220
1181640621697
1234b29b76938
1316bc235b908
14a31a7375a4
155763802db5
hex312dd6b8bc

211222444220 has 96 divisors (see below), whose sum is σ = 483901278336. Its totient is φ = 77143449600.

The previous prime is 211222444207. The next prime is 211222444243. The reversal of 211222444220 is 22444222112.

It is a super-2 number, since 2×2112224442202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211222444220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1444265 + ... + 1583775.

It is an arithmetic number, because the mean of its divisors is an integer number (5040638316).

Almost surely, 2211222444220 is an apocalyptic number.

211222444220 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 211222444220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241950639168).

211222444220 is an abundant number, since it is smaller than the sum of its proper divisors (272678834116).

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

211222444220 is a wasteful number, since it uses less digits than its factorization.

211222444220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139671 (or 139669 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 211222444220 its reverse (22444222112), we get a palindrome (233666666332).

The spelling of 211222444220 in words is "two hundred eleven billion, two hundred twenty-two million, four hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 61 68 73 85 122 146 170 244 292 305 340 365 610 730 1037 1220 1241 1460 2074 2482 4148 4453 4964 5185 6205 8906 10370 12410 17812 20740 22265 24820 44530 75701 89060 139511 151402 279022 302804 378505 558044 697555 757010 1395110 1514020 2371687 2790220 4743374 8510171 9486748 10184303 11858435 17020342 20368606 23716870 34040684 40737212 42550855 47433740 50921515 85101710 101843030 144672907 170203420 173133151 203686060 289345814 346266302 578691628 621242483 692532604 723364535 865665755 1242484966 1446729070 1731331510 2484969932 2893458140 3106212415 3462663020 6212424830 10561122211 12424849660 21122244422 42244488844 52805611055 105611222110 211222444220