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22505163440 = 245281314543
BaseRepresentation
bin10100111101011010…
…011000101010110000
32011002102102202102212
4110331122120222300
5332042310212230
614201055431252
71424461506254
oct247532305260
964072382385
1022505163440
1195a963a431
124440b25528
1321786c4376
141136cbc264
158bab66895
hex53d698ab0

22505163440 has 20 divisors (see below), whose sum is σ = 52324505184. Its totient is φ = 9002065344.

The previous prime is 22505163433. The next prime is 22505163449. The reversal of 22505163440 is 4436150522.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×225051634402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22505163397 and 22505163406.

It is not an unprimeable number, because it can be changed into a prime (22505163449) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 140657192 + ... + 140657351.

Almost surely, 222505163440 is an apocalyptic number.

22505163440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22505163440 is an abundant number, since it is smaller than the sum of its proper divisors (29819341744).

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

22505163440 is a wasteful number, since it uses less digits than its factorization.

22505163440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281314556 (or 281314550 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 22505163440 in words is "twenty-two billion, five hundred five million, one hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 281314543 562629086 1125258172 1406572715 2250516344 2813145430 4501032688 5626290860 11252581720 22505163440