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2122212110220 = 22325371489214003
BaseRepresentation
bin11110111000011101101…
…100101110111110001100
321111212210121111022012200
4132320131230232332030
5234232242300011340
64302533014401500
7306216252205266
oct36703554567614
97455717438180
102122212110220
11749030457074
122a3370660290
1312517bb302a7
1474a03906b36
153a30c293330
hex1ee1db2ef8c

2122212110220 has 144 divisors (see below), whose sum is σ = 6615830938080. Its totient is φ = 550255638528.

The previous prime is 2122212110203. The next prime is 2122212110251. The reversal of 2122212110220 is 220112122212.

It is a happy number.

2122212110220 is a `hidden beast` number, since 2 + 12 + 221 + 211 + 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 = 2122212110193 and 2122212110202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9809739 + ... + 10023741.

Almost surely, 22122212110220 is an apocalyptic number.

2122212110220 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 2122212110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307915469040).

2122212110220 is an abundant number, since it is smaller than the sum of its proper divisors (4493618827860).

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

2122212110220 is a wasteful number, since it uses less digits than its factorization.

2122212110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215544 (or 215539 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2122212110220 its reverse (220112122212), we get a palindrome (2342324232432).

The spelling of 2122212110220 in words is "two trillion, one hundred twenty-two billion, two hundred twelve million, one hundred ten 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 1489 1665 2220 2978 3330 4467 5956 6660 7445 8934 13401 14890 17868 22335 26802 29780 44670 53604 55093 67005 89340 110186 134010 165279 214003 220372 268020 275465 330558 428006 495837 550930 642009 661116 826395 856012 991674 1070015 1101860 1284018 1652790 1926027 1983348 2140030 2479185 2568036 3210045 3305580 3852054 4280060 4958370 6420090 7704108 7918111 9630135 9916740 12840180 15836222 19260270 23754333 31672444 38520540 39590555 47508666 71262999 79181110 95017332 118771665 142525998 158362220 237543330 285051996 318650467 356314995 475086660 637300934 712629990 955951401 1274601868 1425259980 1593252335 1911902802 2867854203 3186504670 3823805604 4779757005 5735708406 6373009340 9559514010 11471416812 11790067279 14339271015 19119028020 23580134558 28678542030 35370201837 47160269116 57357084060 58950336395 70740403674 106110605511 117900672790 141480807348 176851009185 212221211022 235801345580 353702018370 424442422044 530553027555 707404036740 1061106055110 2122212110220