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22162006105260 = 22357374371467123
BaseRepresentation
bin1010000100111111111101…
…00000000101110010101100
32220110200000022101012200120
411002133332200011302230
510401100242030332020
6115045030212124540
74445103112503360
oct502377640056254
986420008335616
1022162006105260
11707494375860a
12259b18b006750
13c49b395b8c48
1456890ac292a0
152867409bc740
hex1427fe805cac

22162006105260 has 384 divisors, whose sum is σ = 75578839547904. Its totient is φ = 4746258478080.

The previous prime is 22162006105241. The next prime is 22162006105319. The reversal of 22162006105260 is 6250160026122.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47210059 + ... + 47677181.

It is an arithmetic number, because the mean of its divisors is an integer number (196819894656).

Almost surely, 222162006105260 is an apocalyptic number.

22162006105260 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 22162006105260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37789419773952).

22162006105260 is an abundant number, since it is smaller than the sum of its proper divisors (53416833442644).

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

22162006105260 is a wasteful number, since it uses less digits than its factorization.

22162006105260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467293 (or 467291 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 22162006105260 in words is "twenty-two trillion, one hundred sixty-two billion, six million, one hundred five thousand, two hundred sixty".