Search a number
-
+
2186030025 = 345210392
BaseRepresentation
bin1000001001001100…
…0010101111001001
312122100101211110000
42002103002233021
513434110430100
61000530113213
7105112643244
oct20223025711
95570354400
102186030025
11a21a58793
1251011b809
1328ab7caba
1416a48225b
15cbdac900
hex824c2bc9

2186030025 has 45 divisors (see below), whose sum is σ = 4053184311. Its totient is φ = 1164760560.

The previous prime is 2186029987. The next prime is 2186030039. The reversal of 2186030025 is 5200306812.

The square root of 2186030025 is 46755.

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., 786970809 + 1399059216 = 28053^2 + 37404^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 2186030025 - 213 = 2186021833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 2103456 + ... + 2104494.

Almost surely, 22186030025 is an apocalyptic number.

2186030025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2186030025 is the 46755-th square number.

2186030025 is the 23378-th centered octagonal number.

It is an amenable number.

2186030025 is a deficient number, since it is larger than the sum of its proper divisors (1867154286).

2186030025 is an frugal number, since it uses more digits than its factorization.

2186030025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 2186030025 is about 1297.8326855815.

Adding to 2186030025 its reverse (5200306812), we get a palindrome (7386336837).

The spelling of 2186030025 in words is "two billion, one hundred eighty-six million, thirty thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 1039 2025 3117 5195 9351 15585 25975 28053 46755 77925 84159 140265 233775 420795 701325 1079521 2103975 3238563 5397605 9715689 16192815 26988025 29147067 48578445 80964075 87441201 145735335 242892225 437206005 728676675 2186030025