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22314548768 = 25264072
BaseRepresentation
bin10100110010000011…
…001111111000100000
32010121010202112021012
4110302003033320200
5331200011030033
614130130120052
71416655351331
oct246203177040
963533675235
1022314548768
119510a87846
1243a9120028
132148074c15
141119860288
158a9063248
hex5320cfe20

22314548768 has 18 divisors (see below), whose sum is σ = 43933431591. Its totient is φ = 11156851872.

The previous prime is 22314548717. The next prime is 22314548783. The reversal of 22314548768 is 86784541322.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 11157274384 + 11157274384 = 105628^2 + 105628^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105628.

It is a super-3 number, since 3×223145487683 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 831821 + ... + 858227.

Almost surely, 222314548768 is an apocalyptic number.

It is an amenable number.

22314548768 is a deficient number, since it is larger than the sum of its proper divisors (21618882823).

22314548768 is an frugal number, since it uses more digits than its factorization.

22314548768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52824 (or 26409 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 50.

Multiplying 22314548768 by its sum of digits (50), we get a square (1115727438400 = 10562802).

The spelling of 22314548768 in words is "twenty-two billion, three hundred fourteen million, five hundred forty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 26407 52814 105628 211256 422512 845024 697329649 1394659298 2789318596 5578637192 11157274384 22314548768