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2215305344 = 27713718047
BaseRepresentation
bin1000010000001010…
…1110000010000000
312201101111011122002
42010002232002000
514014104232334
61003453403132
7105616533110
oct20402560200
95641434562
102215305344
11a3753376a
12519a994a8
13293c5cc85
14170303040
15ce741b7e
hex840ae080

2215305344 has 64 divisors (see below), whose sum is σ = 5080872960. Its totient is φ = 942434304.

The previous prime is 2215305311. The next prime is 2215305359. The reversal of 2215305344 is 4435035122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113729 + ... + 131775.

It is an arithmetic number, because the mean of its divisors is an integer number (79388640).

Almost surely, 22215305344 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 2215305344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540436480).

2215305344 is an abundant number, since it is smaller than the sum of its proper divisors (2865567616).

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

2215305344 is a wasteful number, since it uses less digits than its factorization.

2215305344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18205 (or 18193 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 2215305344 is about 47067.0303290955. The cubic root of 2215305344 is about 1303.6005400704.

The spelling of 2215305344 in words is "two billion, two hundred fifteen million, three hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 137 224 274 448 548 896 959 1096 1918 2192 3836 4384 7672 8768 15344 17536 18047 30688 36094 61376 72188 122752 126329 144376 252658 288752 505316 577504 1010632 1155008 2021264 2310016 2472439 4042528 4944878 8085056 9889756 16170112 17307073 19779512 34614146 39559024 69228292 79118048 138456584 158236096 276913168 316472192 553826336 1107652672 2215305344