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22016605413440 = 265112568610677
BaseRepresentation
bin1010000000110001000111…
…11100011110000001000000
32212221202201002022202112102
411000120203330132001000
510341210001441212230
6114454142222445532
74431435002144021
oct500304374360100
985852632282472
1022016605413440
11701920a869800
122576b707338a8
13c39206b73c21
14561876234c48
15282a80a96045
hex140623f1e040

22016605413440 has 84 divisors (see below), whose sum is σ = 57626417772588. Its totient is φ = 8006038318080.

The previous prime is 22016605413437. The next prime is 22016605413497. The reversal of 22016605413440 is 4431450661022.

It can be written as a sum of positive squares in 2 ways, for example, as 6680860189696 + 15335745223744 = 2584736^2 + 3916088^2 .

It is a super-2 number, since 2×220166054134402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22016605413394 and 22016605413403.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 284266619 + ... + 284344058.

It is an arithmetic number, because the mean of its divisors is an integer number (686028783007).

Almost surely, 222016605413440 is an apocalyptic number.

22016605413440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22016605413440 is an abundant number, since it is smaller than the sum of its proper divisors (35609812359148).

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

22016605413440 is a wasteful number, since it uses less digits than its factorization.

22016605413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568610716 (or 568610695 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 22016605413440 in words is "twenty-two trillion, sixteen billion, six hundred five million, four hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 160 176 220 242 320 352 440 484 605 704 880 968 1210 1760 1936 2420 3520 3872 4840 7744 9680 19360 38720 568610677 1137221354 2274442708 2843053385 4548885416 5686106770 6254717447 9097770832 11372213540 12509434894 18195541664 22744427080 25018869788 31273587235 36391083328 45488854160 50037739576 62547174470 68801891917 90977708320 100075479152 125094348940 137603783834 181955416640 200150958304 250188697880 275207567668 344009459585 400301916608 500377395760 550415135336 688018919170 1000754791520 1100830270672 1376037838340 2001509583040 2201660541344 2752075676680 4403321082688 5504151353360 11008302706720 22016605413440