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230363852218564 = 221913239672
BaseRepresentation
bin110100011000001111000011…
…100101001010000011000100
31010012122120100221110121222111
4310120033003211022003010
5220143240132131443224
62133535405344310404
766344145002601121
oct6430170345120304
91105576327417874
10230363852218564
1167445841005569
1221a06084012404
139b702ab0a547c
1440c595444b748
151b9745c05cd94
hexd183c394a0c4

230363852218564 has 27 divisors (see below), whose sum is σ = 403449288252717. Its totient is φ = 115092696164064.

The previous prime is 230363852218553. The next prime is 230363852218589. The reversal of 230363852218564 is 465812258363032.

The square root of 230363852218564 is 15177742.

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., 200567625596100 + 29796226622464 = 14162190^2 + 5458592^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 230363852218499 and 230363852218508.

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 8 ways as a sum of consecutive naturals, for example, 58070038909 + ... + 58070042875.

Almost surely, 2230363852218564 is an apocalyptic number.

230363852218564 is the 15177742-nd square number.

It is an amenable number.

230363852218564 is a deficient number, since it is larger than the sum of its proper divisors (173085436034153).

230363852218564 is an frugal number, since it uses more digits than its factorization.

230363852218564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11764 (or 5882 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 58.

The spelling of 230363852218564 in words is "two hundred thirty trillion, three hundred sixty-three billion, eight hundred fifty-two million, two hundred eighteen thousand, five hundred sixty-four".

Divisors: 1 2 4 1913 3826 3967 7652 7934 15868 3659569 7319138 7588871 14638276 15177742 15737089 30355484 31474178 62948356 14517510223 29035020446 30105051257 58070040892 60210102514 120420205028 57590963054641 115181926109282 230363852218564