Search a number
-
+
2260820507 = 112194192347
BaseRepresentation
bin1000011011000001…
…0110001000011011
312211120010120200212
42012300112020123
514112232224012
61012201121335
7110011441301
oct20660261033
95746116625
102260820507
11a601a0a00
1253118924b
132a0507c1a
14176390271
15d3732b22
hex86c1621b

2260820507 has 24 divisors (see below), whose sum is σ = 2623185600. Its totient is φ = 1941643440.

The previous prime is 2260820473. The next prime is 2260820537. The reversal of 2260820507 is 7050280622.

It is not a de Polignac number, because 2260820507 - 220 = 2259771931 is a prime.

It is a super-2 number, since 2×22608205072 = 10222618729743474098, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2260820537) 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 23 ways as a sum of consecutive naturals, for example, 962108 + ... + 964454.

It is an arithmetic number, because the mean of its divisors is an integer number (109299400).

Almost surely, 22260820507 is an apocalyptic number.

2260820507 is a deficient number, since it is larger than the sum of its proper divisors (362365093).

2260820507 is a wasteful number, since it uses less digits than its factorization.

2260820507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 2260820507 is about 47548.0862601220. The cubic root of 2260820507 is about 1312.4679128905.

The spelling of 2260820507 in words is "two billion, two hundred sixty million, eight hundred twenty thousand, five hundred seven".

Divisors: 1 11 19 121 209 419 2299 2347 4609 7961 25817 44593 50699 87571 283987 490523 963281 983393 5395753 10817323 18684467 118990553 205529137 2260820507