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22505053660440 = 23351314426316449
BaseRepresentation
bin1010001110111110111011…
…01110101010010100011000
32221200110110212212121201020
411013133131232222110120
510422210322214113230
6115510402351522440
74511636131555251
oct507373556522430
987613425777636
1022505053660440
1171973810a419a
122635768b29420
13c732a9991ca0
1457b37119db28
1529061c49c810
hex1477ddbaa518

22505053660440 has 64 divisors (see below), whose sum is σ = 72708634908000. Its totient is φ = 5539705516032.

The previous prime is 22505053660429. The next prime is 22505053660447. The reversal of 22505053660440 is 4406635050522.

It is a junction number, because it is equal to n+sod(n) for n = 22505053660392 and 22505053660401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22505053660447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7213156665 + ... + 7213159784.

Almost surely, 222505053660440 is an apocalyptic number.

22505053660440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22505053660440 is an abundant number, since it is smaller than the sum of its proper divisors (50203581247560).

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

22505053660440 is a wasteful number, since it uses less digits than its factorization.

22505053660440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14426316476 (or 14426316472 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 22505053660440 in words is "twenty-two trillion, five hundred five billion, fifty-three million, six hundred sixty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 14426316449 28852632898 43278949347 57705265796 72131582245 86557898694 115410531592 144263164490 173115797388 187542113837 216394746735 288526328980 346231594776 375084227674 432789493470 562626341511 577052657960 750168455348 865578986940 937710569185 1125252683022 1500336910696 1731157973880 1875421138370 2250505366044 2813131707555 3750842276740 4501010732088 5626263415110 7501684553480 11252526830220 22505053660440