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22420301768 = 2316723172
BaseRepresentation
bin10100111000010110…
…101010011111001000
32010212111202100002222
4110320112222133020
5331404044124033
614144424513212
71422411264164
oct247026523710
963774670088
1022420301768
119565748617
12441861b808
132163c51167
14112990bca4
158b34a2598
hex5385aa7c8

22420301768 has 36 divisors (see below), whose sum is σ = 42425129985. Its totient is φ = 11107872736.

The previous prime is 22420301731. The next prime is 22420301773. The reversal of 22420301768 is 86710302422.

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 2 ways, for example, as 16364038084 + 6056263684 = 127922^2 + 77822^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105878.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 70726346 + ... + 70726662.

Almost surely, 222420301768 is an apocalyptic number.

It is an amenable number.

22420301768 is a deficient number, since it is larger than the sum of its proper divisors (20004828217).

22420301768 is an frugal number, since it uses more digits than its factorization.

22420301768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 22420301768 in words is "twenty-two billion, four hundred twenty million, three hundred one thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 167 317 334 634 668 1268 1336 2536 27889 52939 55778 100489 105878 111556 200978 211756 223112 401956 423512 803912 8840813 16781663 17681626 33563326 35363252 67126652 70726504 134253304 2802537721 5605075442 11210150884 22420301768