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20065220 = 2257331433
BaseRepresentation
bin100110010001…
…0101111000100
31101202102022022
41030202233010
520114041340
61554022312
7332360120
oct114425704
941672268
1020065220
111036532a
126877998
134207016
142944580
151b653b5
hex1322bc4

20065220 has 48 divisors (see below), whose sum is σ = 48413568. Its totient is φ = 6842880.

The previous prime is 20065207. The next prime is 20065229. The reversal of 20065220 is 2256002.

It is a super-2 number, since 2×200652202 = 805226107296800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20065229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46124 + ... + 46556.

It is an arithmetic number, because the mean of its divisors is an integer number (1008616).

Almost surely, 220065220 is an apocalyptic number.

20065220 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 20065220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24206784).

20065220 is an abundant number, since it is smaller than the sum of its proper divisors (28348348).

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

20065220 is a wasteful number, since it uses less digits than its factorization.

20065220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 20065220 is about 4479.4218376929. The cubic root of 20065220 is about 271.7364987070.

The spelling of 20065220 in words is "twenty million, sixty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 331 433 662 866 1324 1655 1732 2165 2317 3031 3310 4330 4634 6062 6620 8660 9268 11585 12124 15155 23170 30310 46340 60620 143323 286646 573292 716615 1003261 1433230 2006522 2866460 4013044 5016305 10032610 20065220