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22220113333220 = 225112633797101141
BaseRepresentation
bin1010000110101100001011…
…11101100100101111100100
32220200012222220101020022122
411003112011331210233210
510403023243003130340
6115131440143445112
74452231060004265
oct503260575445744
986605886336278
1022220113333220
117097551776a60
1225aa4a6bb6798
13c52469b7347a
1456b66017696c
15287ee1e8ddb5
hex143585f64be4

22220113333220 has 96 divisors (see below), whose sum is σ = 51111774717696. Its totient is φ = 8047119142400.

The previous prime is 22220113333207. The next prime is 22220113333259. The reversal of 22220113333220 is 2233331102222.

It is a super-2 number, since 2×222201133332202 (a number of 27 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 22220113333220.

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 31 ways as a sum of consecutive naturals, for example, 219643850 + ... + 219744990.

It is an arithmetic number, because the mean of its divisors is an integer number (532414319976).

Almost surely, 222220113333220 is an apocalyptic number.

22220113333220 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 22220113333220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25555887358848).

22220113333220 is an abundant number, since it is smaller than the sum of its proper divisors (28891661384476).

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

22220113333220 is a wasteful number, since it uses less digits than its factorization.

22220113333220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105221 (or 105219 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 22220113333220 its reverse (2233331102222), we get a palindrome (24453444435442).

The spelling of 22220113333220 in words is "twenty-two trillion, two hundred twenty billion, one hundred thirteen million, three hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 263 526 1052 1315 2630 2893 3797 5260 5786 7594 11572 14465 15188 18985 28930 37970 41767 57860 75940 83534 101141 167068 202282 208835 404564 417670 505705 835340 998611 1011410 1112551 1997222 2022820 2225102 3994444 4450204 4993055 5562755 9986110 10984721 11125510 19972220 21969442 22251020 26600083 43938884 53200166 54923605 106400332 109847210 133000415 219694420 266000830 292600913 384032377 532001660 585201826 768064754 1170403652 1463004565 1536129508 1920161885 2926009130 3840323770 4224356147 5852018260 7680647540 8448712294 16897424588 21121780735 42243561470 84487122940 101000515151 202001030302 404002060604 505002575755 1010005151510 1111005666661 2020010303020 2222011333322 4444022666644 5555028333305 11110056666610 22220113333220