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2014205226 = 2311431017027
BaseRepresentation
bin111100000001110…
…0101010100101010
312012101002020010120
41320003211110222
513111114031401
6531511224110
7100625314305
oct17003452452
95171066116
102014205226
11943a6a220
12482678036
132613ac017
14151715b3c
15bbc6b836
hex780e552a

2014205226 has 64 divisors (see below), whose sum is σ = 4541999616. Its totient is φ = 590184000.

The previous prime is 2014205209. The next prime is 2014205231. The reversal of 2014205226 is 6225024102.

It is a happy number.

It is a super-2 number, since 2×20142052262 = 8114045384891422152, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2014205196 and 2014205205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283125 + ... + 290151.

It is an arithmetic number, because the mean of its divisors is an integer number (70968744).

Almost surely, 22014205226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014205226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270999808).

2014205226 is an abundant number, since it is smaller than the sum of its proper divisors (2527794390).

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

2014205226 is a wasteful number, since it uses less digits than its factorization.

2014205226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7187.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2014205226 is about 44879.8977940013. The cubic root of 2014205226 is about 1262.8969260197.

Adding to 2014205226 its reverse (6225024102), we get a palindrome (8239229328).

The spelling of 2014205226 in words is "two billion, fourteen million, two hundred five thousand, two hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 43 66 86 101 129 202 258 303 473 606 946 1111 1419 2222 2838 3333 4343 6666 7027 8686 13029 14054 21081 26058 42162 47773 77297 95546 143319 154594 231891 286638 302161 463782 604322 709727 906483 1419454 1812966 2129181 3323771 4258362 6647542 7806997 9971313 15613994 19942626 23420991 30518261 46841982 61036522 91554783 183109566 335700871 671401742 1007102613 2014205226