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222122011212 = 22347913996203
BaseRepresentation
bin1100111011011110000…
…0001110101001001100
3210020100001202021220000
43032313200032221030
512114401213324322
6250012541324300
722022250641343
oct3166740165114
9706301667800
10222122011212
11862240a26a2
1237070266690
1317c3b52063a
14aa72142b5a
155ba06543ac
hex33b780ea4c

222122011212 has 120 divisors (see below), whose sum is σ = 588536256000. Its totient is φ = 73039415904.

The previous prime is 222122011193. The next prime is 222122011217. The reversal of 222122011212 is 212110221222.

It is a happy number.

222122011212 is a `hidden beast` number, since 2 + 221 + 220 + 11 + 212 = 666.

222122011212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (222122011217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35805703 + ... + 35811905.

It is an arithmetic number, because the mean of its divisors is an integer number (4904468800).

Almost surely, 2222122011212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222122011212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294268128000).

222122011212 is an abundant number, since it is smaller than the sum of its proper divisors (366414244788).

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

222122011212 is a wasteful number, since it uses less digits than its factorization.

222122011212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7697 (or 7686 counting only the distinct ones).

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

Adding to 222122011212 its reverse (212110221222), we get a palindrome (434232232434).

The spelling of 222122011212 in words is "two hundred twenty-two billion, one hundred twenty-two million, eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 81 108 158 162 237 316 324 474 711 948 1399 1422 2133 2798 2844 4197 4266 5596 6203 6399 8394 8532 12406 12591 12798 16788 18609 24812 25182 25596 37218 37773 50364 55827 74436 75546 110521 111654 113319 151092 167481 221042 223308 226638 331563 334962 442084 453276 490037 502443 663126 669924 980074 994689 1004886 1326252 1470111 1960148 1989378 2009772 2940222 2984067 3978756 4410333 5880444 5968134 8677997 8820666 8952201 11936268 13230999 17355994 17641332 17904402 26033991 26461998 34711988 35808804 39692997 52067982 52923996 78101973 79385994 104135964 156203946 158771988 234305919 312407892 468611838 685561763 702917757 937223676 1371123526 1405835514 2056685289 2742247052 2811671028 4113370578 6170055867 8226741156 12340111734 18510167601 24680223468 37020335202 55530502803 74040670404 111061005606 222122011212