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2256131339 = 711213713711
BaseRepresentation
bin1000011001111001…
…1101010100001011
312211020022100100222
42012132131110023
514110032200324
61011512420255
7106623541250
oct20636352413
95736270328
102256131339
11a58588960
1252b6a768b
1329c555777
141758cd427
15d310855e
hex8679d50b

2256131339 has 16 divisors (see below), whose sum is σ = 2814360576. Its totient is φ = 1757073600.

The previous prime is 2256131333. The next prime is 2256131359. The reversal of 2256131339 is 9331316522.

2256131339 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 2256131339 - 24 = 2256131323 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2256131299 and 2256131308.

It is not an unprimeable number, because it can be changed into a prime (2256131333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157694 + ... + 171404.

It is an arithmetic number, because the mean of its divisors is an integer number (175897536).

Almost surely, 22256131339 is an apocalyptic number.

2256131339 is a deficient number, since it is larger than the sum of its proper divisors (558229237).

2256131339 is a wasteful number, since it uses less digits than its factorization.

2256131339 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15866.

The product of its digits is 29160, while the sum is 35.

The square root of 2256131339 is about 47498.7509204189. The cubic root of 2256131339 is about 1311.5598882208.

The spelling of 2256131339 in words is "two billion, two hundred fifty-six million, one hundred thirty-one thousand, three hundred thirty-nine".

Divisors: 1 7 11 77 2137 13711 14959 23507 95977 150821 164549 1055747 29300407 205102849 322304477 2256131339