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2246506128 = 243215600737
BaseRepresentation
bin1000010111100110…
…1111011010010000
312210120012100001200
42011321233122100
514100101144003
61010530231200
7106445662356
oct20571573220
95716170050
102246506128
11a53104339
12528425500
1329a565689
141745057d6
15d23566a3
hex85e6f690

2246506128 has 30 divisors (see below), whose sum is σ = 6287097414. Its totient is φ = 748835328.

The previous prime is 2246506111. The next prime is 2246506151. The reversal of 2246506128 is 8216056422.

It is a happy number.

2246506128 is a `hidden beast` number, since 2 + 24 + 6 + 506 + 128 = 666.

2246506128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1688223744 + 558282384 = 41088^2 + 23628^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2246506092 and 2246506101.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7800225 + ... + 7800512.

Almost surely, 22246506128 is an apocalyptic number.

It is an amenable number.

2246506128 is an abundant number, since it is smaller than the sum of its proper divisors (4040591286).

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

2246506128 is a wasteful number, since it uses less digits than its factorization.

2246506128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15600751 (or 15600742 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2246506128 is about 47397.3219496629. The cubic root of 2246506128 is about 1309.6920838756.

The spelling of 2246506128 in words is "two billion, two hundred forty-six million, five hundred six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 15600737 31201474 46802211 62402948 93604422 124805896 140406633 187208844 249611792 280813266 374417688 561626532 748835376 1123253064 2246506128