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2012424192 = 211322347101
BaseRepresentation
bin111011111110011…
…0010100000000000
312012020201202000100
41313330302200000
513110140033232
6531405122400
7100604215632
oct16774624000
95166652010
102012424192
11942a63099
12481b59400
13260c0745c
141513b0a52
15bba18c7c
hex77f32800

2012424192 has 288 divisors, whose sum is σ = 6255325440. Its totient is φ = 621772800.

The previous prime is 2012424157. The next prime is 2012424233. The reversal of 2012424192 is 2914242102.

2012424192 is a `hidden beast` number, since 2 + 0 + 1 + 242 + 419 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×20124241922 = 8099702257093705728, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19924942 + ... + 19925042.

It is an arithmetic number, because the mean of its divisors is an integer number (21719880).

Almost surely, 22012424192 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 2012424192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3127662720).

2012424192 is an abundant number, since it is smaller than the sum of its proper divisors (4242901248).

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

2012424192 is a wasteful number, since it uses less digits than its factorization.

2012424192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2012424192 is about 44860.0511814242. The cubic root of 2012424192 is about 1262.5245830197.

Adding to 2012424192 its reverse (2914242102), we get a palindrome (4926666294).

The spelling of 2012424192 in words is "two billion, twelve million, four hundred twenty-four thousand, one hundred ninety-two".