Search a number
-
+
2066205520 = 24533897621
BaseRepresentation
bin111101100100111…
…1100101101010000
312022222221010010101
41323021330231100
513212422034040
6541005542144
7102126312541
oct17311745520
95288833111
102066205520
11970356875
12497b74954
1326c0b7a22
141585b04c8
15c15de09a
hex7b27cb50

2066205520 has 40 divisors (see below), whose sum is σ = 4805975880. Its totient is φ = 826129920.

The previous prime is 2066205511. The next prime is 2066205523. The reversal of 2066205520 is 255026602.

It can be written as a sum of positive squares in 4 ways, for example, as 1163082816 + 903122704 = 34104^2 + 30052^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2066205523) 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 7 ways as a sum of consecutive naturals, for example, 267310 + ... + 274930.

It is an arithmetic number, because the mean of its divisors is an integer number (120149397).

Almost surely, 22066205520 is an apocalyptic number.

2066205520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2066205520 is an abundant number, since it is smaller than the sum of its proper divisors (2739770360).

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

2066205520 is a wasteful number, since it uses less digits than its factorization.

2066205520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11023 (or 11017 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 2066205520 is about 45455.5334365355. The cubic root of 2066205520 is about 1273.6726969028.

The spelling of 2066205520 in words is "two billion, sixty-six million, two hundred five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3389 6778 7621 13556 15242 16945 27112 30484 33890 38105 54224 60968 67780 76210 121936 135560 152420 271120 304840 609680 25827569 51655138 103310276 129137845 206620552 258275690 413241104 516551380 1033102760 2066205520