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222213341313 = 324117314512399
BaseRepresentation
bin1100111011110011110…
…0101000000010000001
3210020120102121100020100
43032330330220002001
512120043103410223
6250030003033013
722024440144015
oct3167474500201
9706512540210
10222213341313
1186270702317
123709696b769
1317c54419b12
14aa80318545
155ba8695043
hex33bcf28081

222213341313 has 48 divisors (see below), whose sum is σ = 331069939200. Its totient is φ = 143534688000.

The previous prime is 222213341291. The next prime is 222213341353. The reversal of 222213341313 is 313143312222.

222213341313 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 1 + 3 + 341 + 313 = 666.

It is not a de Polignac number, because 222213341313 - 25 = 222213341281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (222213341353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92626288 + ... + 92628686.

It is an arithmetic number, because the mean of its divisors is an integer number (6897290400).

Almost surely, 2222213341313 is an apocalyptic number.

It is an amenable number.

222213341313 is a deficient number, since it is larger than the sum of its proper divisors (108856597887).

222213341313 is a wasteful number, since it uses less digits than its factorization.

222213341313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4070 (or 4067 counting only the distinct ones).

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

Adding to 222213341313 its reverse (313143312222), we get a palindrome (535356653535).

The spelling of 222213341313 in words is "two hundred twenty-two billion, two hundred thirteen million, three hundred forty-one thousand, three hundred thirteen".

Divisors: 1 3 9 41 123 173 369 519 1451 1557 2399 4353 7093 7197 13059 21279 21591 59491 63837 98359 178473 251023 295077 415027 535419 753069 885231 1245081 2259207 3480949 3735243 10291943 10442847 17016107 30875829 31328541 51048321 92627487 142718909 153144963 428156727 602204177 1284470181 1806612531 5419837593 24690371257 74071113771 222213341313