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2015201881 = 72114532
BaseRepresentation
bin111100000011101…
…1000101001011001
312012102221212021201
41320013120221121
513111342430011
6531544434201
7100636635100
oct17007305131
95172855251
102015201881
11944590000
12482a78961
1326166a864
141518d5037
15bbdb6cc1
hex781d8a59

2015201881 has 45 divisors (see below), whose sum is σ = 2628191055. Its totient is φ = 1540659120.

The previous prime is 2015201863. The next prime is 2015201887. The reversal of 2015201881 is 1881025102.

The square root of 2015201881 is 44891.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1452753225 + 562448656 = 38115^2 + 23716^2 .

It is not a de Polignac number, because 2015201881 - 215 = 2015169113 is a prime.

It is a super-2 number, since 2×20152018812 = 8122077242371876322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2015201887) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 38022651 + ... + 38022703.

Almost surely, 22015201881 is an apocalyptic number.

2015201881 is the 44891-st square number.

2015201881 is the 22446-th centered octagonal number.

It is an amenable number.

2015201881 is a deficient number, since it is larger than the sum of its proper divisors (612989174).

2015201881 is an frugal number, since it uses more digits than its factorization.

2015201881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 28.

The cubic root of 2015201881 is about 1263.1051909595.

Adding to 2015201881 its reverse (1881025102), we get a palindrome (3896226983).

It can be divided in two parts, 201520 and 1881, that added together give a square (203401 = 4512).

The spelling of 2015201881 in words is "two billion, fifteen million, two hundred one thousand, eight hundred eighty-one".

Divisors: 1 7 11 49 53 77 121 371 539 583 847 1331 2597 2809 4081 5929 6413 9317 14641 19663 28567 30899 44891 65219 70543 102487 137641 216293 314237 339889 493801 717409 775973 1514051 2379223 3456607 3738779 5431811 16654561 26171453 38022677 41126569 183200171 287885983 2015201881