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22012122288 = 2431319337139
BaseRepresentation
bin10100100000000001…
…100101010010110000
32002211001200200010110
4110200001211102300
5330040100403123
614040124101320
71406323644432
oct244001452260
962731620113
1022012122288
1193762a6302
124323994840
1320ca507840
1410cb618652
1588c725493
hex5200654b0

22012122288 has 320 divisors, whose sum is σ = 66865164800. Its totient is φ = 6198156288.

The previous prime is 22012122277. The next prime is 22012122289. The reversal of 22012122288 is 88222121022.

It is not an unprimeable number, because it can be changed into a prime (22012122289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158360523 + ... + 158360661.

It is an arithmetic number, because the mean of its divisors is an integer number (208953640).

Almost surely, 222012122288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22012122288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33432582400).

22012122288 is an abundant number, since it is smaller than the sum of its proper divisors (44853042512).

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

22012122288 is a wasteful number, since it uses less digits than its factorization.

22012122288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The spelling of 22012122288 in words is "twenty-two billion, twelve million, one hundred twenty-two thousand, two hundred eighty-eight".