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2271563696 = 241931323873
BaseRepresentation
bin1000011101100101…
…0100111110110000
312212022100101120202
42013121110332300
514123010014241
61013223254332
7110201654453
oct20731247660
95768311522
102271563696
11a66269476
125348aa3a8
132a27c9b3c
1417798949a
15d4655d9b
hex87654fb0

2271563696 has 40 divisors (see below), whose sum is σ = 4647790320. Its totient is φ = 1072521216.

The previous prime is 2271563663. The next prime is 2271563699. The reversal of 2271563696 is 6963651722.

2271563696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2271563696.

It is not an unprimeable number, because it can be changed into a prime (2271563699) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83216 + ... + 107088.

It is an arithmetic number, because the mean of its divisors is an integer number (116194758).

Almost surely, 22271563696 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 2271563696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323895160).

2271563696 is an abundant number, since it is smaller than the sum of its proper divisors (2376226624).

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

2271563696 is a wasteful number, since it uses less digits than its factorization.

2271563696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24213 (or 24207 counting only the distinct ones).

The product of its digits is 816480, while the sum is 47.

The square root of 2271563696 is about 47660.9242042158. The cubic root of 2271563696 is about 1314.5435332991.

The spelling of 2271563696 in words is "two billion, two hundred seventy-one million, five hundred sixty-three thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 19 38 76 152 304 313 626 1252 2504 5008 5947 11894 23788 23873 47576 47746 95152 95492 190984 381968 453587 907174 1814348 3628696 7257392 7472249 14944498 29888996 59777992 119555984 141972731 283945462 567890924 1135781848 2271563696