Search a number
-
+
2268529137 = 327219132689
BaseRepresentation
bin1000011100110111…
…0000000111110001
312212002122012221200
42013031300013301
514121220413022
61013034241413
7110134115400
oct20715600761
95762565850
102268529137
11a64586576
12533886269
132a1ca6844
141773d9637
15d4256bac
hex873701f1

2268529137 has 36 divisors (see below), whose sum is σ = 3815157060. Its totient is φ = 1295142912.

The previous prime is 2268529051. The next prime is 2268529157. The reversal of 2268529137 is 7319258622.

It can be written as a sum of positive squares in 2 ways, for example, as 934891776 + 1333637361 = 30576^2 + 36519^2 .

It is not a de Polignac number, because 2268529137 - 210 = 2268528113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2268529092 and 2268529101.

It is not an unprimeable number, because it can be changed into a prime (2268529157) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 842289 + ... + 844977.

It is an arithmetic number, because the mean of its divisors is an integer number (105976585).

Almost surely, 22268529137 is an apocalyptic number.

It is an amenable number.

2268529137 is a deficient number, since it is larger than the sum of its proper divisors (1546627923).

2268529137 is a wasteful number, since it uses less digits than its factorization.

2268529137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4622 (or 4612 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 2268529137 is about 47629.0786914885. The cubic root of 2268529137 is about 1313.9579106359.

The spelling of 2268529137 in words is "two billion, two hundred sixty-eight million, five hundred twenty-nine thousand, one hundred thirty-seven".

Divisors: 1 3 7 9 21 49 63 147 441 1913 2689 5739 8067 13391 17217 18823 24201 40173 56469 93737 120519 131761 169407 281211 395283 843633 1185849 5144057 15432171 36008399 46296513 108025197 252058793 324075591 756176379 2268529137