Search a number
-
+
222120221011110 = 232511833208569463
BaseRepresentation
bin110010100000010001100100…
…110111101110110010100110
31002010110111010002222112221100
4302200101210313232302212
5213103204203034323420
62104224342034100530
764533441066514242
oct6240214467566246
91063414102875840
10222120221011110
116485772510a1a4
1220ab447871a746
1396c2b01a24036
143cbc967169422
151aa2ccb4b3190
hexca0464deeca6

222120221011110 has 48 divisors (see below), whose sum is σ = 577561382652384. Its totient is φ = 59227052985216.

The previous prime is 222120221011097. The next prime is 222120221011111. The reversal of 222120221011110 is 11110122021222.

222120221011110 is a `hidden beast` number, since 222 + 120 + 2 + 210 + 1 + 1 + 110 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222120221011111) 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, 103219762 + ... + 105349701.

It is an arithmetic number, because the mean of its divisors is an integer number (12032528805258).

Almost surely, 2222120221011110 is an apocalyptic number.

222120221011110 is an abundant number, since it is smaller than the sum of its proper divisors (355441161641274).

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

222120221011110 is a wasteful number, since it uses less digits than its factorization.

222120221011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208581309 (or 208581306 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 222120221011110 its reverse (11110122021222), we get a palindrome (233230343032332).

The spelling of 222120221011110 in words is "two hundred twenty-two trillion, one hundred twenty billion, two hundred twenty-one million, eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 11833 23666 35499 59165 70998 106497 118330 177495 212994 354990 532485 1064970 208569463 417138926 625708389 1042847315 1251416778 1877125167 2085694630 3128541945 3754250334 6257083890 9385625835 18771251670 2468002455679 4936004911358 7404007367037 12340012278395 14808014734074 22212022101111 24680024556790 37020036835185 44424044202222 74040073670370 111060110505555 222120221011110