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220002102220212 = 223413294371774373
BaseRepresentation
bin110010000001011100111011…
…001001110001010110110100
31001211221222212202210102020000
4302001130323021301112310
5212314003301132021322
62055523323121311300
764224425120041344
oct6201347311612664
91054858782712200
10220002102220212
1164110405295564
1220811a6aa95530
13959b155c5a1b0
143c48231148d24
151a67b5d77a3ac
hexc8173b2715b4

220002102220212 has 120 divisors (see below), whose sum is σ = 619391030646696. Its totient is φ = 67690616792832.

The previous prime is 220002102220181. The next prime is 220002102220253. The reversal of 220002102220212 is 212022201200022.

220002102220212 is a `hidden beast` number, since 2 + 20 + 0 + 0 + 210 + 2 + 220 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 103472106671376 + 116529995548836 = 10172124^2 + 10794906^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 123101458 + ... + 124875830.

Almost surely, 2220002102220212 is an apocalyptic number.

It is an amenable number.

220002102220212 is an abundant number, since it is smaller than the sum of its proper divisors (399388928426484).

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

220002102220212 is a wasteful number, since it uses less digits than its factorization.

220002102220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803839 (or 1803828 counting only the distinct ones).

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

Adding to 220002102220212 its reverse (212022201200022), we get a palindrome (432024303420234).

The spelling of 220002102220212 in words is "two hundred twenty trillion, two billion, one hundred two million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212 29437 58874 88311 117748 176622 264933 353244 382681 529866 765362 794799 1059732 1148043 1530724 1589598 1774373 2296086 2384397 3179196 3444129 3548746 4592172 4768794 5323119 6888258 7097492 9537588 10332387 10646238 13776516 15969357 20664774 21292476 23066849 30997161 31938714 41329548 46133698 47908071 61994322 63877428 69200547 92267396 95816142 123988644 138401094 143724213 191632284 207601641 276802188 287448426 415203282 574896852 622804923 830406564 1245609846 1868414769 2491219692 3736829538 7473659076 52232218001 104464436002 156696654003 208928872004 313393308006 470089962009 626786616012 679018834013 940179924018 1358037668026 1410269886027 1880359848036 2037056502039 2716075336052 2820539772054 4074113004078 4230809658081 5641079544108 6111169506117 8148226008156 8461619316162 12222339012234 16923238632324 18333508518351 24444678024468 36667017036702 55000525555053 73334034073404 110001051110106 220002102220212