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201225022020 = 2232511967105097
BaseRepresentation
bin1011101101100111110…
…0100010101001000100
3201020101201101020210100
42323121330202221010
511244102101201040
6232235210324100
720352354315531
oct2733174425104
9636351336710
10201225022020
11783803083a0
1232bb9a29630
1315c8b064889
149a4ca85d88
15537aca3b30
hex2ed9f22a44

201225022020 has 144 divisors (see below), whose sum is σ = 666566828928. Its totient is φ = 48730913280.

The previous prime is 201225022007. The next prime is 201225022043. The reversal of 201225022020 is 20220522102.

201225022020 is a `hidden beast` number, since 2 + 0 + 122 + 502 + 20 + 20 = 666.

201225022020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201225021984 and 201225022002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1862112 + ... + 1967208.

It is an arithmetic number, because the mean of its divisors is an integer number (4628936312).

Almost surely, 2201225022020 is an apocalyptic number.

201225022020 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 201225022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333283414464).

201225022020 is an abundant number, since it is smaller than the sum of its proper divisors (465341806908).

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

201225022020 is a wasteful number, since it uses less digits than its factorization.

201225022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106090 (or 106085 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 201225022020 its reverse (20220522102), we get a palindrome (221445544122).

The spelling of 201225022020 in words is "two hundred one billion, two hundred twenty-five million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 967 990 1934 1980 2901 3868 4835 5802 8703 9670 10637 11604 14505 17406 19340 21274 29010 31911 34812 42548 43515 53185 58020 63822 87030 95733 105097 106370 127644 159555 174060 191466 210194 212740 315291 319110 382932 420388 478665 525485 630582 638220 945873 957330 1050970 1156067 1261164 1576455 1891746 1914660 2101940 2312134 3152910 3468201 3783492 4624268 4729365 5780335 6305820 6936402 9458730 10404603 11560670 13872804 17341005 18917460 20809206 23121340 34682010 41618412 52023015 69364020 101628799 104046030 203257598 208092060 304886397 406515196 508143995 609772794 914659191 1016287990 1117916789 1219545588 1524431985 1829318382 2032575980 2235833578 3048863970 3353750367 3658636764 4471667156 4573295955 5589583945 6097727940 6707500734 9146591910 10061251101 11179167890 13415001468 16768751835 18293183820 20122502202 22358335780 33537503670 40245004404 50306255505 67075007340 100612511010 201225022020