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2220313221 = 33741349821
BaseRepresentation
bin1000010001010111…
…0100101010000101
312201201220121011000
42010111310222011
514021400010341
61004153003513
7106010231250
oct20425645205
95651817130
102220313221
11a3a344205
1251b6b3599
13294cc4509
14170c48097
15cedd08b6
hex84574a85

2220313221 has 64 divisors (see below), whose sum is σ = 3866688000. Its totient is φ = 1232755200.

The previous prime is 2220313181. The next prime is 2220313223. The reversal of 2220313221 is 1223130222.

It is not a de Polignac number, because 2220313221 - 218 = 2220051077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2220313194 and 2220313203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220313223) 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 63 ways as a sum of consecutive naturals, for example, 2703991 + ... + 2704811.

It is an arithmetic number, because the mean of its divisors is an integer number (60417000).

Almost surely, 22220313221 is an apocalyptic number.

2220313221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2220313221 is a deficient number, since it is larger than the sum of its proper divisors (1646374779).

2220313221 is a wasteful number, since it uses less digits than its factorization.

2220313221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2220313221 is about 47120.1997130742. The cubic root of 2220313221 is about 1304.5820989812.

Adding to 2220313221 its reverse (1223130222), we get a palindrome (3443443443).

The spelling of 2220313221 in words is "two billion, two hundred twenty million, three hundred thirteen thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 41 63 123 189 287 349 369 821 861 1047 1107 2443 2463 2583 3141 5747 7329 7389 7749 9423 14309 17241 21987 22167 33661 42927 51723 65961 100163 100983 128781 155169 235627 286529 300489 302949 386343 706881 859587 901467 908847 2005703 2120643 2578761 2704401 6017109 6361929 7736283 11747689 18051327 35243067 54153981 82233823 105729201 246701469 317187603 740104407 2220313221