Search a number
-
+
2220314121 = 321735940423
BaseRepresentation
bin1000010001010111…
…0100111000001001
312201201220122101100
42010111310320021
514021400022441
61004153012013
7106010234004
oct20425647011
95651818340
102220314121
11a3a344953
1251b6b4009
13294cc4a4c
14170c4853b
15cedd0cb6
hex84574e09

2220314121 has 24 divisors (see below), whose sum is σ = 3405317760. Its totient is φ = 1389223296.

The previous prime is 2220314081. The next prime is 2220314219. The reversal of 2220314121 is 1214130222.

It is a happy number.

2220314121 is a `hidden beast` number, since 2 + 220 + 31 + 412 + 1 = 666.

It is not a de Polignac number, because 2220314121 - 210 = 2220313097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2220314094 and 2220314103.

It is not an unprimeable number, because it can be changed into a prime (2220314021) 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, 34716 + ... + 75138.

It is an arithmetic number, because the mean of its divisors is an integer number (141888240).

Almost surely, 22220314121 is an apocalyptic number.

It is an amenable number.

2220314121 is a deficient number, since it is larger than the sum of its proper divisors (1185003639).

2220314121 is a wasteful number, since it uses less digits than its factorization.

2220314121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40805 (or 40802 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2220314121 is about 47120.2092631177. The cubic root of 2220314121 is about 1304.5822752512.

Adding to 2220314121 its reverse (1214130222), we get a palindrome (3434444343).

The spelling of 2220314121 in words is "two billion, two hundred twenty million, three hundred fourteen thousand, one hundred twenty-one".

Divisors: 1 3 9 17 51 153 359 1077 3231 6103 18309 40423 54927 121269 363807 687191 2061573 6184719 14511857 43535571 130606713 246701569 740104707 2220314121