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2001000222 = 2321325911149
BaseRepresentation
bin111011101000100…
…1101011100011110
312011110020100021100
41313101031130132
513044224001342
6530320213530
7100405135614
oct16721153436
95143210240
102001000222
119375700a1
1247a16a2a6
1325b737700
1414da796b4
15baa0de4c
hex7744d71e

2001000222 has 72 divisors (see below), whose sum is σ = 4774653000. Its totient is φ = 605202624.

The previous prime is 2001000151. The next prime is 2001000223. The reversal of 2001000222 is 2220001002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001000223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 173904 + ... + 185052.

It is an arithmetic number, because the mean of its divisors is an integer number (66314625).

Almost surely, 22001000222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001000222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387326500).

2001000222 is an abundant number, since it is smaller than the sum of its proper divisors (2773652778).

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

2001000222 is a wasteful number, since it uses less digits than its factorization.

2001000222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11242 (or 11226 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2001000222 is about 44732.5409741052. The cubic root of 2001000222 is about 1260.1310483500.

Adding to 2001000222 its reverse (2220001002), we get a palindrome (4221001224).

The spelling of 2001000222 in words is "two billion, one million, two hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 13 18 26 39 59 78 117 118 169 177 234 338 354 507 531 767 1014 1062 1521 1534 2301 3042 4602 6903 9971 11149 13806 19942 22298 29913 33447 59826 66894 89739 100341 144937 179478 200682 289874 434811 657791 869622 1304433 1315582 1884181 1973373 2608866 3768362 3946746 5652543 5920119 8551283 11305086 11840238 16957629 17102566 25653849 33915258 51307698 76961547 111166679 153923094 222333358 333500037 667000074 1000500111 2001000222