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2102222120220 = 22325371439219353
BaseRepresentation
bin11110100101110110001…
…100111110010100011100
321102222012110210121002200
4132211312030332110130
5233420322330321340
64245425243451500
7304611011122125
oct36456614762434
97388173717080
102102222120220
11740602644782
1229b511b26b90
1312331454b941
1473a68aa904c
1539a3c353330
hex1e97633e51c

2102222120220 has 144 divisors (see below), whose sum is σ = 6553665780480. Its totient is φ = 545059888128.

The previous prime is 2102222120203. The next prime is 2102222120279. The reversal of 2102222120220 is 220212222012.

2102222120220 is a `hidden beast` number, since 2 + 10 + 222 + 212 + 0 + 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 = 2102222120193 and 2102222120202.

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 47 ways as a sum of consecutive naturals, for example, 9474064 + ... + 9693416.

It is an arithmetic number, because the mean of its divisors is an integer number (45511567920).

Almost surely, 22102222120220 is an apocalyptic number.

2102222120220 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 2102222120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276832890240).

2102222120220 is an abundant number, since it is smaller than the sum of its proper divisors (4451443660260).

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

2102222120220 is a wasteful number, since it uses less digits than its factorization.

2102222120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220844 (or 220839 counting only the distinct ones).

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

Adding to 2102222120220 its reverse (220212222012), we get a palindrome (2322434342232).

The spelling of 2102222120220 in words is "two trillion, one hundred two billion, two hundred twenty-two million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1439 1665 2220 2878 3330 4317 5756 6660 7195 8634 12951 14390 17268 21585 25902 28780 43170 51804 53243 64755 86340 106486 129510 159729 212972 219353 259020 266215 319458 438706 479187 532430 638916 658059 798645 877412 958374 1064860 1096765 1316118 1597290 1916748 1974177 2193530 2395935 2632236 3194580 3290295 3948354 4387060 4791870 6580590 7896708 8116061 9583740 9870885 13161180 16232122 19741770 24348183 32464244 39483540 40580305 48696366 73044549 81160610 97392732 121740915 146089098 162321220 243481830 292178196 315648967 365222745 486963660 631297934 730445490 946946901 1262595868 1460890980 1578244835 1893893802 2840840703 3156489670 3787787604 4734734505 5681681406 6312979340 9469469010 11363362812 11679011779 14204203515 18938938020 23358023558 28408407030 35037035337 46716047116 56816814060 58395058895 70074070674 105111106011 116790117790 140148141348 175185176685 210222212022 233580235580 350370353370 420444424044 525555530055 700740706740 1051111060110 2102222120220