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2126012226 = 2313210120759
BaseRepresentation
bin111111010111000…
…0101111101000010
312111011110121111120
41332232011331002
513323224342401
6550543453110
7103453543242
oct17656057502
95434417446
102126012226
119a10954a8
124b3bb7196
1327b5c7a00
141624dbb22
15c69a4836
hex7eb85f42

2126012226 has 48 divisors (see below), whose sum is σ = 4650073920. Its totient is φ = 647649600.

The previous prime is 2126012221. The next prime is 2126012261. The reversal of 2126012226 is 6222106212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2126012196 and 2126012205.

It is not an unprimeable number, because it can be changed into a prime (2126012221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92035 + ... + 112793.

It is an arithmetic number, because the mean of its divisors is an integer number (96876540).

Almost surely, 22126012226 is an apocalyptic number.

2126012226 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2126012226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325036960).

2126012226 is an abundant number, since it is smaller than the sum of its proper divisors (2524061694).

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

2126012226 is a wasteful number, since it uses less digits than its factorization.

2126012226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20891 (or 20878 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2126012226 is about 46108.7001118010. The cubic root of 2126012226 is about 1285.8448976764.

Adding to 2126012226 its reverse (6222106212), we get a palindrome (8348118438).

The spelling of 2126012226 in words is "two billion, one hundred twenty-six million, twelve thousand, two hundred twenty-six".

Divisors: 1 2 3 6 13 26 39 78 101 169 202 303 338 507 606 1014 1313 2626 3939 7878 17069 20759 34138 41518 51207 62277 102414 124554 269867 539734 809601 1619202 2096659 3508271 4193318 6289977 7016542 10524813 12579954 21049626 27256567 54513134 81769701 163539402 354335371 708670742 1063006113 2126012226