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22020000040 = 23517179180907
BaseRepresentation
bin10100100000011111…
…101000100100101000
32002211121111220101001
4110200133220210220
5330044110000130
614041005004344
71406450624563
oct244037504450
962747456331
1022020000040
11937a796a45
1243265536b4
1320cc03542c
1410cc6a94da
1588d27e6ca
hex5207e8928

22020000040 has 64 divisors (see below), whose sum is σ = 52752772800. Its totient is φ = 8243524608.

The previous prime is 22020000017. The next prime is 22020000043. The reversal of 22020000040 is 4000002022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 22019999981 and 22020000026.

It is not an unprimeable number, because it can be changed into a prime (22020000043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31267 + ... + 212173.

It is an arithmetic number, because the mean of its divisors is an integer number (824262075).

Almost surely, 222020000040 is an apocalyptic number.

22020000040 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 22020000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26376386400).

22020000040 is an abundant number, since it is smaller than the sum of its proper divisors (30732772760).

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

22020000040 is a wasteful number, since it uses less digits than its factorization.

22020000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181114 (or 181110 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 22020000040 its reverse (4000002022), we get a palindrome (26020002062).

The spelling of 22020000040 in words is "twenty-two billion, twenty million, forty", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 179 340 358 680 716 895 1432 1790 3043 3580 6086 7160 12172 15215 24344 30430 60860 121720 180907 361814 723628 904535 1447256 1809070 3075419 3618140 6150838 7236280 12301676 15377095 24603352 30754190 32382353 61508380 64764706 123016760 129529412 161911765 259058824 323823530 550500001 647647060 1101000002 1295294120 2202000004 2752500005 4404000008 5505000010 11010000020 22020000040