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2271002064 = 2432916310009
BaseRepresentation
bin1000011101011100…
…1011110111010000
312212021021212011120
42013113023313100
514122334031224
61013203242240
7110164125162
oct20727136720
95767255146
102271002064
11a65a15511
12534679380
132a2661306
14177880932
15d4594779
hex875cbdd0

2271002064 has 80 divisors (see below), whose sum is σ = 6106900800. Its totient is φ = 726340608.

The previous prime is 2271002059. The next prime is 2271002077. The reversal of 2271002064 is 4602001722.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 221892 + ... + 231900.

It is an arithmetic number, because the mean of its divisors is an integer number (76336260).

Almost surely, 22271002064 is an apocalyptic number.

2271002064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2271002064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3053450400).

2271002064 is an abundant number, since it is smaller than the sum of its proper divisors (3835898736).

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

2271002064 is a wasteful number, since it uses less digits than its factorization.

2271002064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10212 (or 10206 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2271002064 is about 47655.0318854158. The cubic root of 2271002064 is about 1314.4351864117.

Adding to 2271002064 its reverse (4602001722), we get a palindrome (6873003786).

The spelling of 2271002064 in words is "two billion, two hundred seventy-one million, two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 163 174 232 326 348 464 489 652 696 978 1304 1392 1956 2608 3912 4727 7824 9454 10009 14181 18908 20018 28362 30027 37816 40036 56724 60054 75632 80072 113448 120108 160144 226896 240216 290261 480432 580522 870783 1161044 1631467 1741566 2322088 3262934 3483132 4644176 4894401 6525868 6966264 9788802 13051736 13932528 19577604 26103472 39155208 47312543 78310416 94625086 141937629 189250172 283875258 378500344 567750516 757000688 1135501032 2271002064