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18228510169 = 372412892
BaseRepresentation
bin10000111110100000…
…001111110111011001
31202001101011021001021
4100332200033313121
5244312444311134
612212444122441
71213501531342
oct207640176731
952041137037
1018228510169
117804578541
123648836421
13194668a6bc
14c4cd110c9
1571a4950b4
hex43e80fdd9

18228510169 has 27 divisors (see below), whose sum is σ = 19420754871. Its totient is φ = 17108847360.

The previous prime is 18228510161. The next prime is 18228510191. The reversal of 18228510169 is 96101582281.

The square root of 18228510169 is 135013.

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

It can be written as a sum of positive squares in 13 ways, for example, as 16148055625 + 2080454544 = 127075^2 + 45612^2 .

It is not a de Polignac number, because 18228510169 - 23 = 18228510161 is a prime.

It is a super-2 number, since 2×182285101692 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18228510161) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 204814677 + ... + 204814765.

Almost surely, 218228510169 is an apocalyptic number.

18228510169 is the 135013-rd square number.

18228510169 is the 67507-th centered octagonal number.

It is an amenable number.

18228510169 is a deficient number, since it is larger than the sum of its proper divisors (1192244702).

18228510169 is an frugal number, since it uses more digits than its factorization.

18228510169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 43.

The spelling of 18228510169 in words is "eighteen billion, two hundred twenty-eight million, five hundred ten thousand, one hundred sixty-nine".

Divisors: 1 37 41 89 1369 1517 1681 3293 3649 7921 56129 62197 121841 135013 149609 293077 324761 2301289 4995481 5535533 10843849 12016157 13315201 204814721 444597809 492662437 18228510169