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2200221212 = 227411999631
BaseRepresentation
bin1000001100100100…
…1011011000011100
312200100002211002112
42003021023120130
514001224034322
61002154213152
7105344400050
oct20311133034
95610084075
102200221212
11a29a70842
12514a241b8
13290aab257
1416c2d7c60
15cd2625e2
hex8324b61c

2200221212 has 48 divisors (see below), whose sum is σ = 4530892800. Its totient is φ = 915235200.

The previous prime is 2200221211. The next prime is 2200221217. The reversal of 2200221212 is 2121220022.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200221211) 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 15 ways as a sum of consecutive naturals, for example, 223637 + ... + 233267.

It is an arithmetic number, because the mean of its divisors is an integer number (94393600).

Almost surely, 22200221212 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 2200221212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265446400).

2200221212 is an abundant number, since it is smaller than the sum of its proper divisors (2330671588).

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

2200221212 is a wasteful number, since it uses less digits than its factorization.

2200221212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9882 (or 9880 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2200221212 is about 46906.5156668026. The cubic root of 2200221212 is about 1300.6350372745.

Adding to 2200221212 its reverse (2121220022), we get a palindrome (4321441234).

The spelling of 2200221212 in words is "two billion, two hundred million, two hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 41 82 164 199 287 398 574 796 1148 1393 2786 5572 8159 9631 16318 19262 32636 38524 57113 67417 114226 134834 228452 269668 394871 789742 1579484 1916569 2764097 3833138 5528194 7666276 11056388 13415983 26831966 53663932 78579329 157158658 314317316 550055303 1100110606 2200221212