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22971646096 = 247254132
BaseRepresentation
bin10101011001001101…
…111000000010010000
32012021221012112100021
4111121031320002100
5334021220133341
614315242033224
71442154525100
oct253115700220
965257175307
1022971646096
119818993793
1245511a8814
1322212424c9
14117cc2b200
158e6aad9d1
hex559378090

22971646096 has 45 divisors (see below), whose sum is σ = 51783671961. Its totient is φ = 9843172416.

The previous prime is 22971646079. The next prime is 22971646097. The reversal of 22971646096 is 69064617922.

The square root of 22971646096 is 151564.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4998490000 + 17973156096 = 70700^2 + 134064^2 .

It is not an unprimeable number, because it can be changed into a prime (22971646097) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4241086 + ... + 4246498.

Almost surely, 222971646096 is an apocalyptic number.

22971646096 is the 151564-th square number.

It is an amenable number.

22971646096 is an abundant number, since it is smaller than the sum of its proper divisors (28812025865).

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

22971646096 is an frugal number, since it uses more digits than its factorization.

22971646096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10848 (or 5422 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 52.

The spelling of 22971646096 in words is "twenty-two billion, nine hundred seventy-one million, six hundred forty-six thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 5413 10826 21652 37891 43304 75782 86608 151564 265237 303128 530474 606256 1060948 2121896 4243792 29300569 58601138 117202276 205103983 234404552 410207966 468809104 820415932 1435727881 1640831864 2871455762 3281663728 5742911524 11485823048 22971646096