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222130313321220 = 2232510179531212293
BaseRepresentation
bin110010100000011010111110…
…011010110101101100000100
31002010111110011110110000201200
4302200122332122311230010
5213103340340202234340
62104233131315222500
764534246144653003
oct6240327632655404
91063443143400650
10222130313321220
1164860a33a43157
1220ab64145a7a30
1396c3a4c891a75
143cbd24367ac3a
151aa31bc507330
hexca06be6b5b04

222130313321220 has 72 divisors (see below), whose sum is σ = 673796501455896. Its totient is φ = 59234643167232.

The previous prime is 222130313321149. The next prime is 222130313321227. The reversal of 222130313321220 is 22123313031222.

222130313321220 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 3 + 0 + 313 + 321 + 2 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13944891929796 + 208185421391424 = 3734286^2 + 14428632^2 .

It is not an unprimeable number, because it can be changed into a prime (222130313321227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182625394 + ... + 183837686.

It is an arithmetic number, because the mean of its divisors is an integer number (9358284742443).

Almost surely, 2222130313321220 is an apocalyptic number.

222130313321220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222130313321220 is an abundant number, since it is smaller than the sum of its proper divisors (451666188134676).

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

222130313321220 is a wasteful number, since it uses less digits than its factorization.

222130313321220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230261 (or 2230256 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 222130313321220 its reverse (22123313031222), we get a palindrome (244253626352442).

The spelling of 222130313321220 in words is "two hundred twenty-two trillion, one hundred thirty billion, three hundred thirteen million, three hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1017953 1212293 2035906 2424586 3053859 3636879 4071812 4849172 5089765 6061465 6107718 7273758 9161577 10179530 10910637 12122930 12215436 14547516 15269295 18184395 18323154 20359060 21821274 24245860 30538590 36368790 36646308 43642548 45807885 54553185 61077180 72737580 91615770 109106370 183231540 218212740 1234057296229 2468114592458 3702171888687 4936229184916 6170286481145 7404343777374 11106515666061 12340572962290 14808687554748 18510859443435 22213031332122 24681145924580 37021718886870 44426062664244 55532578330305 74043437773740 111065156660610 222130313321220