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211222220200000 = 26554493235057
BaseRepresentation
bin110000000001101100000001…
…011001110101100001000000
31000200212122110200210112110121
4300001230001121311201000
5210141131101332400000
62025122052015110024
762330205344162302
oct6001540131654100
91020778420715417
10211222220200000
1161335927829609
121b834346212314
1390b2229361829
143a232d237b972
1519645947e5b1a
hexc01b01675840

211222220200000 has 168 divisors, whose sum is σ = 524015417132424. Its totient is φ = 84469724160000.

The previous prime is 211222220199997. The next prime is 211222220200037. The reversal of 211222220200000 is 2022222112.

It can be written as a sum of positive squares in 12 ways, for example, as 197869685691456 + 13352534508544 = 14066616^2 + 3654112^2 .

It is a super-2 number, since 2×2112222202000002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 898482472 + ... + 898717528.

It is an arithmetic number, because the mean of its divisors is an integer number (3119139387693).

Almost surely, 2211222220200000 is an apocalyptic number.

211222220200000 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 211222220200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262007708566212).

211222220200000 is an abundant number, since it is smaller than the sum of its proper divisors (312793196932424).

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

211222220200000 is an frugal number, since it uses more digits than its factorization.

211222220200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239587 (or 239557 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 211222220200000 its reverse (2022222112), we get a palindrome (211224242422112).

The spelling of 211222220200000 in words is "two hundred eleven trillion, two hundred twenty-two billion, two hundred twenty million, two hundred thousand".