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22012221002220 = 22325294434153453
BaseRepresentation
bin1010000000101000111101…
…00111010001000111101100
32212221100101112021121000200
411000110132213101013230
510341122012034032340
6114452135201353500
74431221233233021
oct500243647210754
985840345247020
1022012221002220
11701736a997759
122576148338890
13c3898870b567
1456157bc17548
152828c5bdb330
hex14051e9d11ec

22012221002220 has 72 divisors (see below), whose sum is σ = 66772687568496. Its totient is φ = 5869724821632.

The previous prime is 22012221002207. The next prime is 22012221002249. The reversal of 22012221002220 is 2220012221022.

22012221002220 is a `hidden beast` number, since 220 + 1 + 2 + 221 + 0 + 0 + 2 + 220 = 666.

It is a super-2 number, since 2×220122210022202 (a number of 27 digits) contains 22 as substring.

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 = 22012221002193 and 22012221002202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3223014 + ... + 7376466.

Almost surely, 222012221002220 is an apocalyptic number.

22012221002220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22012221002220 is an abundant number, since it is smaller than the sum of its proper divisors (44760466566276).

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

22012221002220 is a wasteful number, since it uses less digits than its factorization.

22012221002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4182911 (or 4182906 counting only the distinct ones).

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

Adding to 22012221002220 its reverse (2220012221022), we get a palindrome (24232233223242).

The spelling of 22012221002220 in words is "twenty-two trillion, twelve billion, two hundred twenty-one million, two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 29443 58886 88329 117772 147215 176658 264987 294430 353316 441645 529974 588860 883290 1059948 1324935 1766580 2649870 4153453 5299740 8306906 12460359 16613812 20767265 24920718 37381077 41534530 49841436 62301795 74762154 83069060 124603590 149524308 186905385 249207180 373810770 747621540 122290116679 244580233358 366870350037 489160466716 611450583395 733740700074 1100611050111 1222901166790 1467481400148 1834351750185 2201222100222 2445802333580 3668703500370 4402444200444 5503055250555 7337407000740 11006110501110 22012221002220