Search a number
-
+
2184534121 = 721126072
BaseRepresentation
bin1000001000110101…
…0101100001101001
312122020120211110011
42002031111201221
513433220042441
61000434051521
7105064143100
oct20215254151
95566524404
102184534121
11a21126900
1250b719ba1
1328a777c53
1416a1b3037
15cbbb4581
hex82355869

2184534121 has 27 divisors (see below), whose sum is σ = 2797821117. Its totient is φ = 1699430040.

The previous prime is 2184534113. The next prime is 2184534173. The reversal of 2184534121 is 1214354812.

The square root of 2184534121 is 46739.

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

It is not a de Polignac number, because 2184534121 - 23 = 2184534113 is a prime.

It is a super-3 number, since 3×21845341213 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2184534421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3598600 + ... + 3599206.

Almost surely, 22184534121 is an apocalyptic number.

2184534121 is the 46739-th square number.

2184534121 is the 23370-th centered octagonal number.

It is an amenable number.

2184534121 is a deficient number, since it is larger than the sum of its proper divisors (613286996).

2184534121 is an frugal number, since it uses more digits than its factorization.

2184534121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 625 counting only the distinct ones).

The product of its digits is 7680, while the sum is 31.

The cubic root of 2184534121 is about 1297.5365816711.

Adding to 2184534121 its reverse (1214354812), we get a palindrome (3398888933).

The spelling of 2184534121 in words is "two billion, one hundred eighty-four million, five hundred thirty-four thousand, one hundred twenty-one".

Divisors: 1 7 11 49 77 121 539 607 847 4249 5929 6677 29743 46739 73447 327173 368449 514129 2579143 3598903 4052939 18054001 28370573 44582329 198594011 312076303 2184534121