Search a number
-
+
2205111300 = 2235271050053
BaseRepresentation
bin1000001101101111…
…0101010000000100
312200200022021000220
42003123311100010
514004002030200
61002451104340
7105434064630
oct20333652004
95620267026
102205111300
11a31800837
125165a20b0
13291b00cb2
1416cc0bdc0
15cd8cb4a0
hex836f5404

2205111300 has 72 divisors (see below), whose sum is σ = 7291574976. Its totient is φ = 504024960.

The previous prime is 2205111299. The next prime is 2205111317. The reversal of 2205111300 is 31115022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2205111300.

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 23 ways as a sum of consecutive naturals, for example, 522927 + ... + 527126.

Almost surely, 22205111300 is an apocalyptic number.

2205111300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2205111300 is an abundant number, since it is smaller than the sum of its proper divisors (5086463676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2205111300 is a wasteful number, since it uses less digits than its factorization.

2205111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050077 (or 1050070 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 2205111300 is about 46958.6126285690. The cubic root of 2205111300 is about 1301.5978970705.

Adding to 2205111300 its reverse (31115022), we get a palindrome (2236226322).

The spelling of 2205111300 in words is "two billion, two hundred five million, one hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 1050053 2100106 3150159 4200212 5250265 6300318 7350371 10500530 12600636 14700742 15750795 21001060 22051113 26251325 29401484 31501590 36751855 44102226 52502650 63003180 73503710 78753975 88204452 105005300 110255565 147007420 157507950 183759275 220511130 315015900 367518550 441022260 551277825 735037100 1102555650 2205111300