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2248095696 = 2437211312803
BaseRepresentation
bin1000010111111111…
…0011011111010000
312210200012002112120
42011333303133100
514101003030241
61011024254240
7106465332600
oct20577633720
95720162476
102248095696
11a53a9a630
12528a71380
1329a9a1052
141747dac00
15d256c666
hex85ff37d0

2248095696 has 240 divisors, whose sum is σ = 7610370048. Its totient is φ = 564883200.

The previous prime is 2248095667. The next prime is 2248095697. The reversal of 2248095696 is 6965908422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248095697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 800631 + ... + 803433.

Almost surely, 22248095696 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 2248095696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3805185024).

2248095696 is an abundant number, since it is smaller than the sum of its proper divisors (5362274352).

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

2248095696 is a wasteful number, since it uses less digits than its factorization.

2248095696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2870 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The square root of 2248095696 is about 47414.0875268100. The cubic root of 2248095696 is about 1310.0009121451. Note that the first 3 decimals are identical.

The spelling of 2248095696 in words is "two billion, two hundred forty-eight million, ninety-five thousand, six hundred ninety-six".