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2122022112 = 25373157771
BaseRepresentation
bin111111001111011…
…0111110011100000
312110212221220002120
41332132313303200
513321214201422
6550322144240
7103404614250
oct17636676340
95425856076
102122022112
1199990a691
124b27b2080
1327a82b7b2
14161b7d960
15c646745c
hex7e7b7ce0

2122022112 has 48 divisors (see below), whose sum is σ = 6366068352. Its totient is φ = 606291840.

The previous prime is 2122022101. The next prime is 2122022131. The reversal of 2122022112 is 2112202212.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 2122022091 and 2122022100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1578214 + ... + 1579557.

It is an arithmetic number, because the mean of its divisors is an integer number (132626424).

Almost surely, 22122022112 is an apocalyptic number.

It is an amenable number.

2122022112 is an abundant number, since it is smaller than the sum of its proper divisors (4244046240).

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

2122022112 is a wasteful number, since it uses less digits than its factorization.

2122022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3157791 (or 3157783 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2122022112 is about 46065.4112322901. The cubic root of 2122022112 is about 1285.0399664577.

Adding to 2122022112 its reverse (2112202212), we get a palindrome (4234224324).

The spelling of 2122022112 in words is "two billion, one hundred twenty-two million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 3157771 6315542 9473313 12631084 18946626 22104397 25262168 37893252 44208794 50524336 66313191 75786504 88417588 101048672 132626382 151573008 176835176 265252764 303146016 353670352 530505528 707340704 1061011056 2122022112