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222000012211221 = 323137170912583603
BaseRepresentation
bin110010011110100001100111…
…110111100011010000010101
31002010000222211112220210211200
4302132201213313203100111
5213044222011111224341
62104053221522223113
764521654153543636
oct6236414767432025
91063028745823750
10222000012211221
1164810749401692
1220a9510aab4a99
1396b46854c114a
143cb6c021cd88d
151a9eae3015db6
hexc9e867de3415

222000012211221 has 48 divisors (see below), whose sum is σ = 340155956574720. Its totient is φ = 139273293559680.

The previous prime is 222000012211217. The next prime is 222000012211249. The reversal of 222000012211221 is 122112210000222.

It is a happy number.

222000012211221 is a `hidden beast` number, since 2 + 220 + 0 + 0 + 0 + 1 + 221 + 1 + 221 = 666.

It is not a de Polignac number, because 222000012211221 - 22 = 222000012211217 is a prime.

It is a super-2 number, since 2×2220000122112212 (a number of 29 digits) contains 22 as substring.

222000012211221 is a modest number, since divided by 12211221 gives 2220000 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 222000012211194 and 222000012211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222000012211321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11350206 + ... + 23933808.

It is an arithmetic number, because the mean of its divisors is an integer number (7086582428640).

Almost surely, 2222000012211221 is an apocalyptic number.

It is an amenable number.

222000012211221 is a deficient number, since it is larger than the sum of its proper divisors (118155944363499).

222000012211221 is a wasteful number, since it uses less digits than its factorization.

222000012211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12585386 (or 12585383 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 222000012211221 its reverse (122112210000222), we get a palindrome (344112222211443).

The spelling of 222000012211221 in words is "two hundred twenty-two trillion, twelve million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 31 37 93 111 279 333 1147 1709 3441 5127 10323 15381 52979 63233 158937 189699 476811 569097 1960223 5880669 12583603 17642007 37750809 113252427 390091693 465593311 1170275079 1396779933 3510825237 4190339799 14433392641 21505377527 43300177923 64516132581 129900533769 193548397743 666666703337 795698968499 2000000110011 2387096905497 6000000330033 7161290716491 24666668023469 74000004070407 222000012211221