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22505084168 = 237275772
BaseRepresentation
bin10100111101011010…
…000101010100001000
32011002102021201200212
4110331122011110020
5332042300143133
614201054020252
71424461026200
oct247532052410
964072251625
1022505084168
1195a9595916
124440aa7688
132178697268
141136c9b400
158bab4d148
hex53d685508

22505084168 has 36 divisors (see below), whose sum is σ = 49092823485. Its totient is φ = 9643763136.

The previous prime is 22505084159. The next prime is 22505084171. The reversal of 22505084168 is 86148050522.

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 13073178244 + 9431905924 = 114338^2 + 97118^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=106078.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2966396 + ... + 2973972.

Almost surely, 222505084168 is an apocalyptic number.

22505084168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

22505084168 is an abundant number, since it is smaller than the sum of its proper divisors (26587739317).

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

22505084168 is an frugal number, since it uses more digits than its factorization.

22505084168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15174 (or 7586 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 41.

The spelling of 22505084168 in words is "twenty-two billion, five hundred five million, eighty-four thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 7577 15154 30308 53039 60616 106078 212156 371273 424312 742546 1485092 2970184 57410929 114821858 229643716 401876503 459287432 803753006 1607506012 2813135521 3215012024 5626271042 11252542084 22505084168