Search a number
-
+
1223120205 = 325269310093
BaseRepresentation
bin100100011100111…
…0101010101001101
310011020111221111100
41020321311111031
510001104321310
6321211413313
742211231056
oct11071652515
93136457440
101223120205
1157846834a
122a1754239
1316652ab88
14b862b72d
15725a5ec0
hex48e7554d

1223120205 has 24 divisors (see below), whose sum is σ = 2121072408. Its totient is φ = 652023936.

The previous prime is 1223120203. The next prime is 1223120237. The reversal of 1223120205 is 5020213221.

It can be written as a sum of positive squares in 4 ways, for example, as 94361796 + 1128758409 = 9714^2 + 33597^2 .

It is not a de Polignac number, because 1223120205 - 21 = 1223120203 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223120203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116139 + ... + 126231.

It is an arithmetic number, because the mean of its divisors is an integer number (88378017).

Almost surely, 21223120205 is an apocalyptic number.

1223120205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1223120205 is a deficient number, since it is larger than the sum of its proper divisors (897952203).

1223120205 is a wasteful number, since it uses less digits than its factorization.

1223120205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12797 (or 12794 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1223120205 is about 34973.1354756762. The cubic root of 1223120205 is about 1069.4398923145.

Adding to 1223120205 its reverse (5020213221), we get a palindrome (6243333426).

The spelling of 1223120205 in words is "one billion, two hundred twenty-three million, one hundred twenty thousand, two hundred five".

Divisors: 1 3 5 9 15 45 2693 8079 10093 13465 24237 30279 40395 50465 90837 121185 151395 454185 27180449 81541347 135902245 244624041 407706735 1223120205