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2014212222 = 2321128910391
BaseRepresentation
bin111100000001110…
…0111000001111110
312012101002120201200
41320003213001332
513111114242342
6531511320330
7100625343561
oct17003470176
95171076650
102014212222
11943a74500
124826800a6
132613b2269
141517184d8
15bbc6d94c
hex780e707e

2014212222 has 72 divisors (see below), whose sum is σ = 4851297360. Its totient is φ = 603451200.

The previous prime is 2014212209. The next prime is 2014212227. The reversal of 2014212222 is 2222124102.

2014212222 is a `hidden beast` number, since 20 + 1 + 421 + 2 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2014212195 and 2014212204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014212227) 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, 188647 + ... + 199037.

It is an arithmetic number, because the mean of its divisors is an integer number (67379130).

Almost surely, 22014212222 is an apocalyptic number.

2014212222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014212222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425648680).

2014212222 is an abundant number, since it is smaller than the sum of its proper divisors (2837085138).

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

2014212222 is a wasteful number, since it uses less digits than its factorization.

2014212222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10510 (or 10496 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2014212222 is about 44879.9757352876. The cubic root of 2014212222 is about 1262.8983881707.

Adding to 2014212222 its reverse (2222124102), we get a palindrome (4236336324).

It can be divided in two parts, 20142122 and 22, that added together give a square (20142144 = 44882).

The spelling of 2014212222 in words is "two billion, fourteen million, two hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 89 99 121 178 198 242 267 363 534 726 801 979 1089 1602 1958 2178 2937 5874 8811 10391 10769 17622 20782 21538 31173 32307 62346 64614 93519 96921 114301 187038 193842 228602 342903 685806 924799 1028709 1257311 1849598 2057418 2514622 2774397 3771933 5548794 7543866 8323191 10172789 11315799 16646382 20345578 22631598 30518367 61036734 91555101 111900679 183110202 223801358 335702037 671404074 1007106111 2014212222