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2256349965 = 354315123167
BaseRepresentation
bin1000011001111101…
…0010101100001101
312211020201110021020
42012133102230031
514110111144330
61011521224353
7106625441532
oct20637225415
95736643236
102256349965
11a58718141
1252b7920b9
1329c60112c
14175948d89
15d314d210
hex867d2b0d

2256349965 has 32 divisors (see below), whose sum is σ = 3718742016. Its totient is φ = 1167566400.

The previous prime is 2256349961. The next prime is 2256350003. The reversal of 2256349965 is 5699436522.

2256349965 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2256349965 - 22 = 2256349961 is a prime.

It is a super-2 number, since 2×22563499652 = 10182230329111002450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256349961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85812 + ... + 108978.

It is an arithmetic number, because the mean of its divisors is an integer number (116210688).

Almost surely, 22256349965 is an apocalyptic number.

It is an amenable number.

2256349965 is a deficient number, since it is larger than the sum of its proper divisors (1462392051).

2256349965 is a wasteful number, since it uses less digits than its factorization.

2256349965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23369.

The product of its digits is 3499200, while the sum is 51.

The square root of 2256349965 is about 47501.0522515028. The cubic root of 2256349965 is about 1311.6022515687.

The spelling of 2256349965 in words is "two billion, two hundred fifty-six million, three hundred forty-nine thousand, nine hundred sixty-five".

Divisors: 1 3 5 15 43 129 151 215 453 645 755 2265 6493 19479 23167 32465 69501 97395 115835 347505 996181 2988543 3498217 4980905 10494651 14942715 17491085 52473255 150423331 451269993 752116655 2256349965