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20022200022 = 23114110217247
BaseRepresentation
bin10010101001011010…
…101000011011010110
31220200101022010221210
4102221122220123112
5312001140400042
613110441122250
71306111614666
oct225132503326
956611263853
1020022200022
118545012250
123a69489386
131b7117b546
14d7d2241a6
157c2ba3a9c
hex4a96a86d6

20022200022 has 64 divisors (see below), whose sum is σ = 44800293888. Its totient is φ = 5912736000.

The previous prime is 20022200021. The next prime is 20022200059. The reversal of 20022200022 is 22000222002.

It is a junction number, because it is equal to n+sod(n) for n = 20022199980 and 20022200007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20022200021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2759203 + ... + 2766449.

It is an arithmetic number, because the mean of its divisors is an integer number (700004592).

Almost surely, 220022200022 is an apocalyptic number.

20022200022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20022200022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22400146944).

20022200022 is an abundant number, since it is smaller than the sum of its proper divisors (24778093866).

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

20022200022 is a wasteful number, since it uses less digits than its factorization.

20022200022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8325.

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 20022200022 its reverse (22000222002), we get a palindrome (42022422024).

It can be divided in two parts, 2002 and 2200022, that multiplied together give a palindrome (4404444044).

The spelling of 20022200022 in words is "twenty billion, twenty-two million, two hundred thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 902 1021 1353 2042 2706 3063 6126 7247 11231 14494 21741 22462 33693 41861 43482 67386 79717 83722 125583 159434 239151 251166 297127 460471 478302 594254 891381 920942 1381413 1782762 2762826 3268397 6536794 7399187 9805191 14798374 19610382 22197561 44395122 81391057 162782114 244173171 303366667 488346342 606733334 910100001 1820200002 3337033337 6674066674 10011100011 20022200022