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22022121000 = 233531121931103
BaseRepresentation
bin10100100000100111…
…101110011000101000
32002211202111122210010
4110200213232120220
5330100130333000
614041122251520
71406504640255
oct244047563050
962752448703
1022022121000
119380a05500
1243271b6ba0
1320cc5c8939
1410cca9c42c
1588d54cd50
hex5209ee628

22022121000 has 768 divisors, whose sum is σ = 82859212800. Its totient is φ = 4847040000.

The previous prime is 22022120999. The next prime is 22022121071. The reversal of 22022121000 is 12122022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 213806949 + ... + 213807051.

It is an arithmetic number, because the mean of its divisors is an integer number (107889600).

Almost surely, 222022121000 is an apocalyptic number.

22022121000 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 22022121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41429606400).

22022121000 is an abundant number, since it is smaller than the sum of its proper divisors (60837091800).

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

22022121000 is a wasteful number, since it uses less digits than its factorization.

22022121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22022121000 its reverse (12122022), we get a palindrome (22034243022).

The spelling of 22022121000 in words is "twenty-two billion, twenty-two million, one hundred twenty-one thousand".