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22854364808 = 231124321132
BaseRepresentation
bin10101010010001110…
…011110111010001000
32011222202112000122212
4111102032132322020
5333301204133213
614255452204252
71436231616122
oct252216367210
964882460585
1022854364808
119768769600
124519a69688
132202b5abb2
14116b41c212
158db6439a8
hex55239ee88

22854364808 has 108 divisors (see below), whose sum is σ = 48653100405. Its totient is φ = 10056963840.

The previous prime is 22854364769. The next prime is 22854364823. The reversal of 22854364808 is 80846345822.

It is a happy number.

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 14434100164 + 8420264644 = 120142^2 + 91762^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=106898.

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 26 ways as a sum of consecutive naturals, for example, 202250960 + ... + 202251072.

Almost surely, 222854364808 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 22854364808

22854364808 is an abundant number, since it is smaller than the sum of its proper divisors (25798735597).

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

22854364808 is a wasteful number, since it uses less digits than its factorization.

22854364808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 50.

Multiplying 22854364808 by its sum of digits (50), we get a square (1142718240400 = 10689802).

The spelling of 22854364808 in words is "twenty-two billion, eight hundred fifty-four million, three hundred sixty-four thousand, eight hundred eight".

Divisors: 1 2 4 8 11 22 43 44 86 88 113 121 172 226 242 344 452 473 484 904 946 968 1243 1849 1892 2486 3698 3784 4859 4972 5203 7396 9718 9944 10406 12769 13673 14792 19436 20339 20812 25538 27346 38872 40678 41624 51076 53449 54692 81356 102152 106898 109384 140459 162712 208937 213796 223729 280918 417874 427592 447458 549067 561836 587939 835748 894916 1098134 1123672 1175878 1545049 1671496 1789832 2196268 2298307 2351756 3090098 4392536 4596614 4703512 6039737 6180196 9193228 12079474 12360392 18386456 23609881 24158948 25281377 47219762 48317896 50562754 66437107 94439524 101125508 132874214 188879048 202251016 259708691 265748428 519417382 531496856 1038834764 2077669528 2856795601 5713591202 11427182404 22854364808