Search a number
-
+
222011221122 = 232432231286261
BaseRepresentation
bin1100111011000011100…
…1100110010010000010
3210020001100021120110100
43032300321212102002
512114134333033442
6245553542543230
722016434146225
oct3166071462202
9706040246410
10222011221122
1186177601439
123703b137b16
1317c2159c782
14aa615435bc
155b95a6c84c
hex33b0e66482

222011221122 has 48 divisors (see below), whose sum is σ = 494418532608. Its totient is φ = 71958529440.

The previous prime is 222011221099. The next prime is 222011221129. The reversal of 222011221122 is 221122110222.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 222011221095 and 222011221104.

It is not an unprimeable number, because it can be changed into a prime (222011221129) 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 23 ways as a sum of consecutive naturals, for example, 470529 + ... + 815732.

It is an arithmetic number, because the mean of its divisors is an integer number (10300386096).

Almost surely, 2222011221122 is an apocalyptic number.

222011221122 is an abundant number, since it is smaller than the sum of its proper divisors (272407311486).

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

222011221122 is a wasteful number, since it uses less digits than its factorization.

222011221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286535 (or 1286532 counting only the distinct ones).

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

Adding to 222011221122 its reverse (221122110222), we get a palindrome (443133331344).

The spelling of 222011221122 in words is "two hundred twenty-two billion, eleven million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 43 86 129 223 258 387 446 669 774 1338 2007 4014 9589 19178 28767 57534 86301 172602 1286261 2572522 3858783 7717566 11576349 23152698 55309223 110618446 165927669 286836203 331855338 497783007 573672406 860508609 995566014 1721017218 2581525827 5163051654 12333956729 24667913458 37001870187 74003740374 111005610561 222011221122