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2003222214 = 232732314107
BaseRepresentation
bin111011101100110…
…1011111011000110
312011121102020021100
41313121223323012
513100311102324
6530440000530
7100433052000
oct16731537306
95147366240
102003222214
11938848554
1247aa60146
1325c034bb6
14150097370
15bacec4c9
hex7766bec6

2003222214 has 96 divisors (see below), whose sum is σ = 5282035200. Its totient is φ = 547425648.

The previous prime is 2003222171. The next prime is 2003222233. The reversal of 2003222214 is 4122223002.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134949 + ... + 149055.

It is an arithmetic number, because the mean of its divisors is an integer number (55021200).

Almost surely, 22003222214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003222214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641017600).

2003222214 is an abundant number, since it is smaller than the sum of its proper divisors (3278812986).

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

2003222214 is a wasteful number, since it uses less digits than its factorization.

2003222214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14159 (or 14142 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2003222214 is about 44757.3704991703. The cubic root of 2003222214 is about 1260.5973093903.

Adding to 2003222214 its reverse (4122223002), we get a palindrome (6125445216).

The spelling of 2003222214 in words is "two billion, three million, two hundred twenty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 49 63 69 98 126 138 147 161 207 294 322 343 414 441 483 686 882 966 1029 1127 1449 2058 2254 2898 3087 3381 6174 6762 7889 10143 14107 15778 20286 23667 28214 42321 47334 71001 84642 98749 126963 142002 197498 253926 296247 324461 592494 648922 691243 888741 973383 1382486 1777482 1946766 2073729 2271227 2920149 4147458 4542454 4838701 5840298 6221187 6813681 9677402 12442374 13627362 14516103 15898589 20441043 29032206 31797178 40882086 43548309 47695767 87096618 95391534 111290123 143087301 222580246 286174602 333870369 667740738 1001611107 2003222214