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22132320221000 = 23531119277431887
BaseRepresentation
bin1010000100001000101010…
…00101011011011101001000
32220100211101110011001002202
411002010111011123131020
510400103442434033000
6115023240400415332
74443002345605013
oct502042505333510
986324343131082
1022132320221000
11706329a85a370
122595485317548
13c470b8324962
145672d23ca37a
15285aa473edd5
hex14211515b748

22132320221000 has 512 divisors, whose sum is σ = 59891971276800. Its totient is φ = 7570834560000.

The previous prime is 22132320220999. The next prime is 22132320221023. The reversal of 22132320221000 is 12202323122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 24951882557 + ... + 24951883443.

It is an arithmetic number, because the mean of its divisors is an integer number (116976506400).

Almost surely, 222132320221000 is an apocalyptic number.

22132320221000 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 22132320221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29945985638400).

22132320221000 is an abundant number, since it is smaller than the sum of its proper divisors (37759651055800).

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

22132320221000 is a wasteful number, since it uses less digits than its factorization.

22132320221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 22132320221000 its reverse (12202323122), we get a palindrome (22144522544122).

The spelling of 22132320221000 in words is "twenty-two trillion, one hundred thirty-two billion, three hundred twenty million, two hundred twenty-one thousand".