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2256147135 = 335111519291
BaseRepresentation
bin1000011001111010…
…0001001010111111
312211020100011001000
42012132201022333
514110033202020
61011513021343
7106623635304
oct20636411277
95736304030
102256147135
11a58599810
1252b6b4853
1329c55ca08
141758d50ab
15d310d090
hex867a12bf

2256147135 has 32 divisors (see below), whose sum is σ = 4375560960. Its totient is φ = 1093888800.

The previous prime is 2256147083. The next prime is 2256147137. The reversal of 2256147135 is 5317416522.

2256147135 is a `hidden beast` number, since 2 + 2 + 5 + 614 + 7 + 1 + 35 = 666.

It is not a de Polignac number, because 2256147135 - 27 = 2256147007 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2256147135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256147137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 758161 + ... + 761130.

It is an arithmetic number, because the mean of its divisors is an integer number (136736280).

Almost surely, 22256147135 is an apocalyptic number.

2256147135 is a deficient number, since it is larger than the sum of its proper divisors (2119413825).

2256147135 is a wasteful number, since it uses less digits than its factorization.

2256147135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519316 (or 1519310 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 2256147135 is about 47498.9171981846. The cubic root of 2256147135 is about 1311.5629491170.

It can be divided in two parts, 22561 and 47135, that added together give a palindrome (69696).

The spelling of 2256147135 in words is "two billion, two hundred fifty-six million, one hundred forty-seven thousand, one hundred thirty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1485 1519291 4557873 7596455 13673619 16712201 22789365 41020857 50136603 68368095 83561005 150409809 205104285 250683015 451229427 752049045 2256147135