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2220331212 = 22321126321319
BaseRepresentation
bin1000010001010111…
…1001000011001100
312201201221111211100
42010111321003030
514021401044322
61004153223100
7106010334561
oct20425710314
95651844740
102220331212
11a3a356780
1251b701a90
13294ccc768
14170c50868
15cedd5dac
hex845790cc

2220331212 has 72 divisors (see below), whose sum is σ = 6146300160. Its totient is φ = 670237920.

The previous prime is 2220331207. The next prime is 2220331297. The reversal of 2220331212 is 2121330222.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 93489 + ... + 114807.

It is an arithmetic number, because the mean of its divisors is an integer number (85365280).

Almost surely, 22220331212 is an apocalyptic number.

2220331212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220331212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3073150080).

2220331212 is an abundant number, since it is smaller than the sum of its proper divisors (3925968948).

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

2220331212 is a wasteful number, since it uses less digits than its factorization.

2220331212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21603 (or 21598 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2220331212 is about 47120.3906180753. The cubic root of 2220331212 is about 1304.5856226092.

Adding to 2220331212 its reverse (2121330222), we get a palindrome (4341661434).

The spelling of 2220331212 in words is "two billion, two hundred twenty million, three hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 263 396 526 789 1052 1578 2367 2893 3156 4734 5786 8679 9468 11572 17358 21319 26037 34716 42638 52074 63957 85276 104148 127914 191871 234509 255828 383742 469018 703527 767484 938036 1407054 2110581 2814108 4221162 5606897 8442324 11213794 16820691 22427588 33641382 50462073 61675867 67282764 100924146 123351734 185027601 201848292 246703468 370055202 555082803 740110404 1110165606 2220331212