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22019309568 = 218341761
BaseRepresentation
bin10100100000011101…
…000000000000000000
32002211120012211020000
4110200131000000000
5330043420401233
614040542120000
71406442020544
oct244035000000
962746184200
1022019309568
11937a365203
124326280000
1320cbb53079
1410cc569a24
1588d194d13
hex520740000

22019309568 has 380 divisors, whose sum is σ = 70797619332. Its totient is φ = 6794772480.

The previous prime is 22019309567. The next prime is 22019309593. The reversal of 22019309568 is 86590391022.

It can be written as a sum of positive squares in 2 ways, for example, as 7665352704 + 14353956864 = 87552^2 + 119808^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22019309567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 360972258 + ... + 360972318.

Almost surely, 222019309568 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 22019309568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35398809666).

22019309568 is an abundant number, since it is smaller than the sum of its proper divisors (48778309764).

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

22019309568 is an frugal number, since it uses more digits than its factorization.

22019309568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 22019309568 in words is "twenty-two billion, nineteen million, three hundred nine thousand, five hundred sixty-eight".