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22322241664 = 27474318609
BaseRepresentation
bin10100110010100000…
…100110000010000000
32010121200020100221021
4110302200212002000
5331203443213124
614131003035224
71420110631522
oct246240460200
963550210837
1022322241664
119515361608
1243ab80bb14
132149839628
14111a8a3a12
158a9a827e4
hex532826080

22322241664 has 64 divisors (see below), whose sum is σ = 45526924800. Its totient is φ = 10897039360.

The previous prime is 22322241611. The next prime is 22322241677. The reversal of 22322241664 is 46614222322.

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

It is a super-3 number, since 3×223222416643 (a number of 32 digits) contains 333 as substring.

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, 2588592 + ... + 2597200.

It is an arithmetic number, because the mean of its divisors is an integer number (711358200).

Almost surely, 222322241664 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 22322241664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22763462400).

22322241664 is an abundant number, since it is smaller than the sum of its proper divisors (23204683136).

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

22322241664 is an equidigital number, since it uses as much as digits as its factorization.

22322241664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9101 (or 9089 counting only the distinct ones).

The product of its digits is 55296, while the sum is 34.

Adding to 22322241664 its reverse (46614222322), we get a palindrome (68936463986).

The spelling of 22322241664 in words is "twenty-two billion, three hundred twenty-two million, two hundred forty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 431 752 862 1504 1724 3008 3448 6016 6896 8609 13792 17218 20257 27584 34436 40514 55168 68872 81028 137744 162056 275488 324112 404623 550976 648224 809246 1101952 1296448 1618492 2592896 3236984 3710479 6473968 7420958 12947936 14841916 25895872 29683832 51791744 59367664 118735328 174392513 237470656 348785026 474941312 697570052 1395140104 2790280208 5580560416 11161120832 22322241664