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2014212224 = 2717925649
BaseRepresentation
bin111100000001110…
…0111000010000000
312012101002120201202
41320003213002000
513111114242344
6531511320332
7100625343563
oct17003470200
95171076652
102014212224
11943a74502
124826800a8
132613b226b
141517184da
15bbc6d94e
hex780e7080

2014212224 has 32 divisors (see below), whose sum is σ = 4248733500. Its totient is φ = 947863552.

The previous prime is 2014212209. The next prime is 2014212227. The reversal of 2014212224 is 4222124102.

It can be written as a sum of positive squares in 2 ways, for example, as 1996302400 + 17909824 = 44680^2 + 4232^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×20142122242 = 8114101766622052352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2014212196 and 2014212205.

It is not an unprimeable number, because it can be changed into a prime (2014212227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 460649 + ... + 465000.

Almost surely, 22014212224 is an apocalyptic number.

It is an amenable number.

2014212224 is an abundant number, since it is smaller than the sum of its proper divisors (2234521276).

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

2014212224 is an equidigital number, since it uses as much as digits as its factorization.

2014212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925680 (or 925668 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2014212224 is about 44879.9757575692. The cubic root of 2014212224 is about 1262.8983885887.

Adding to 2014212224 its reverse (4222124102), we get a palindrome (6236336326).

The spelling of 2014212224 in words is "two billion, fourteen million, two hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 925649 1851298 3702596 7405192 14810384 15736033 29620768 31472066 59241536 62944132 118483072 125888264 251776528 503553056 1007106112 2014212224