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2271665816 = 237299831423
BaseRepresentation
bin1000011101100110…
…1101111010011000
312212022112120122222
42013121231322120
514123021301231
61013225403212
7110202561260
oct20731557230
95768476588
102271665816
11a66329172
12534939508
132a2834474
141779b47a0
15d467627b
hex8766de98

2271665816 has 64 divisors (see below), whose sum is σ = 5044377600. Its totient is φ = 938383488.

The previous prime is 2271665789. The next prime is 2271665831. The reversal of 2271665816 is 6185661722.

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, 1595681 + ... + 1597103.

It is an arithmetic number, because the mean of its divisors is an integer number (78818400).

Almost surely, 22271665816 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 2271665816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522188800).

2271665816 is an abundant number, since it is smaller than the sum of its proper divisors (2772711784).

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

2271665816 is a wasteful number, since it uses less digits than its factorization.

2271665816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2444 counting only the distinct ones).

The product of its digits is 241920, while the sum is 44.

The square root of 2271665816 is about 47661.9955100497. The cubic root of 2271665816 is about 1314.5632317964.

The spelling of 2271665816 in words is "two billion, two hundred seventy-one million, six hundred sixty-five thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 812 983 1423 1624 1966 2846 3932 5692 6881 7864 9961 11384 13762 19922 27524 28507 39844 41267 55048 57014 79688 82534 114028 165068 199549 228056 288869 330136 399098 577738 798196 1155476 1398809 1596392 2310952 2797618 5595236 9791663 11190472 19583326 39166652 40565461 78333304 81130922 162261844 283958227 324523688 567916454 1135832908 2271665816