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22210001110220 = 2257211103199100517
BaseRepresentation
bin1010000110011001010110…
…01110100000010011001100
32220122020220011110002011212
411003030223032200103030
510402342040241011340
6115123044511433552
74451422350351500
oct503145316402314
986566804402155
1022210001110220
117093232682170
1225a85445258b8
13c51517b52b71
1456ad81160300
15287aee314a65
hex14332b3a04cc

22210001110220 has 288 divisors, whose sum is σ = 60063766963200. Its totient is φ = 6820871016960.

The previous prime is 22210001110201. The next prime is 22210001110237. The reversal of 22210001110220 is 2201110001222.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 22210001110195 and 22210001110204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 220907402 + ... + 221007918.

It is an arithmetic number, because the mean of its divisors is an integer number (208554746400).

Almost surely, 222210001110220 is an apocalyptic number.

22210001110220 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 22210001110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30031883481600).

22210001110220 is an abundant number, since it is smaller than the sum of its proper divisors (37853765852980).

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

22210001110220 is a wasteful number, since it uses less digits than its factorization.

22210001110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100853 (or 100844 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22210001110220 its reverse (2201110001222), we get a palindrome (24411111111442).

The spelling of 22210001110220 in words is "twenty-two trillion, two hundred ten billion, one million, one hundred ten thousand, two hundred twenty".