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2012022112 = 25379717519
BaseRepresentation
bin111011111101101…
…0000010101100000
312012012222022110111
41313323100111200
513110034201422
6531352341104
7100600622452
oct16773202540
95165868414
102012022112
11942808aa1
124819a4794
13260ac6439
141513082d2
15bb989a77
hex77ed0560

2012022112 has 48 divisors (see below), whose sum is σ = 4110402240. Its totient is φ = 968675328.

The previous prime is 2012022079. The next prime is 2012022139. The reversal of 2012022112 is 2112202102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2012022092 and 2012022101.

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, 106089 + ... + 123607.

It is an arithmetic number, because the mean of its divisors is an integer number (85633380).

Almost surely, 22012022112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055201120).

2012022112 is an abundant number, since it is smaller than the sum of its proper divisors (2098380128).

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

2012022112 is a wasteful number, since it uses less digits than its factorization.

2012022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17663 (or 17655 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2012022112 is about 44855.5694646718. The cubic root of 2012022112 is about 1262.4404937741.

Adding to 2012022112 its reverse (2112202102), we get a palindrome (4124224214).

The spelling of 2012022112 in words is "two billion, twelve million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 37 74 97 148 194 296 388 592 776 1184 1552 3104 3589 7178 14356 17519 28712 35038 57424 70076 114848 140152 280304 560608 648203 1296406 1699343 2592812 3398686 5185624 6797372 10371248 13594744 20742496 27189488 54378976 62875691 125751382 251502764 503005528 1006011056 2012022112