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222070212 = 2232713531279
BaseRepresentation
bin11010011110010…
…00010111000100
3120110212100001200
431033020113010
5423322221322
634011422500
75334365010
oct1517102704
9513770050
10222070212
11104397701
1262454a30
1337013ac0
14216c9540
15147688ac
hexd3c85c4

222070212 has 144 divisors (see below), whose sum is σ = 704471040. Its totient is φ = 57417984.

The previous prime is 222070181. The next prime is 222070213. The reversal of 222070212 is 212070222.

It is a happy number.

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 (222070213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172989 + ... + 174267.

It is an arithmetic number, because the mean of its divisors is an integer number (4892160).

Almost surely, 2222070212 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 222070212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352235520).

222070212 is an abundant number, since it is smaller than the sum of its proper divisors (482400828).

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

222070212 is a wasteful number, since it uses less digits than its factorization.

222070212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 222070212 is about 14902.0203999324. The cubic root of 222070212 is about 605.5687223215.

The spelling of 222070212 in words is "two hundred twenty-two million, seventy thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 53 63 78 84 91 106 117 126 156 159 182 212 234 252 273 318 364 371 468 477 546 636 689 742 819 954 1092 1113 1279 1378 1484 1638 1908 2067 2226 2558 2756 3276 3339 3837 4134 4452 4823 5116 6201 6678 7674 8268 8953 9646 11511 12402 13356 14469 15348 16627 17906 19292 23022 24804 26859 28938 33254 35812 43407 46044 49881 53718 57876 66508 67787 80577 86814 99762 107436 116389 135574 149643 161154 173628 199524 203361 232778 271148 299286 322308 349167 406722 465556 474509 598572 610083 698334 813444 881231 949018 1047501 1220166 1396668 1423527 1762462 1898036 2095002 2440332 2643693 2847054 3524924 4190004 4270581 5287386 5694108 6168617 7931079 8541162 10574772 12337234 15862158 17082324 18505851 24674468 31724316 37011702 55517553 74023404 111035106 222070212