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2001222006 = 237195934229
BaseRepresentation
bin111011101001000…
…0011100101110110
312011110122121111120
41313102003211312
513044303101011
6530325044410
7100410051330
oct16722034566
95143577446
102001222006
11937701793
1247a256706
1325b7b4644
1414dad6450
15baa54a06
hex77483976

2001222006 has 64 divisors (see below), whose sum is σ = 4824230400. Its totient is φ = 540642816.

The previous prime is 2001222001. The next prime is 2001222011. The reversal of 2001222006 is 6002221002.

It is an interprime number because it is at equal distance from previous prime (2001222001) and next prime (2001222011).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001222001) 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 31 ways as a sum of consecutive naturals, for example, 471100 + ... + 475328.

It is an arithmetic number, because the mean of its divisors is an integer number (75378600).

Almost surely, 22001222006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001222006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412115200).

2001222006 is an abundant number, since it is smaller than the sum of its proper divisors (2823008394).

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

2001222006 is a wasteful number, since it uses less digits than its factorization.

2001222006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4853.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2001222006 is about 44735.0199061094. The cubic root of 2001222006 is about 1260.1776028308.

Adding to 2001222006 its reverse (6002221002), we get a palindrome (8003443008).

The spelling of 2001222006 in words is "two billion, one million, two hundred twenty-two thousand, six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 593 798 1186 1779 3558 4151 4229 8302 8458 11267 12453 12687 22534 24906 25374 29603 33801 59206 67602 78869 80351 88809 157738 160702 177618 236607 241053 473214 482106 562457 1124914 1687371 2507797 3374742 5015594 7523391 15046782 17554579 35109158 47648143 52663737 95296286 105327474 142944429 285888858 333537001 667074002 1000611003 2001222006