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22122020104420 = 22517647778912911
BaseRepresentation
bin1010000011110101011110…
…01001100110100011100100
32220022211210121122220102111
411001322233021212203210
510344421344121320140
6115014414333250404
74442156165216425
oct501725711464344
986284717586374
1022122020104420
1170599946a1325
12259348b933a04
13c461363c8612
145669d646364c
152856a034d7ea
hex141eaf2668e4

22122020104420 has 96 divisors (see below), whose sum is σ = 49275129738240. Its totient is φ = 8313706199040.

The previous prime is 22122020104417. The next prime is 22122020104421. The reversal of 22122020104420 is 2440102022122.

It is a junction number, because it is equal to n+sod(n) for n = 22122020104391 and 22122020104400.

It is not an unprimeable number, because it can be changed into a prime (22122020104421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1713417765 + ... + 1713430675.

It is an arithmetic number, because the mean of its divisors is an integer number (513282601440).

Almost surely, 222122020104420 is an apocalyptic number.

22122020104420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22122020104420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24637564869120).

22122020104420 is an abundant number, since it is smaller than the sum of its proper divisors (27153109633820).

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

22122020104420 is a wasteful number, since it uses less digits than its factorization.

22122020104420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21373 (or 21371 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 22122020104420 its reverse (2440102022122), we get a palindrome (24562122126542).

The spelling of 22122020104420 in words is "twenty-two trillion, one hundred twenty-two billion, twenty million, one hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 647 1294 2588 3235 6470 7789 10999 12911 12940 15578 21998 25822 31156 38945 43996 51644 54995 64555 77890 109990 129110 132413 155780 219487 219980 258220 264826 438974 529652 662065 877948 1097435 1324130 2194870 2648260 4389740 5039483 8353417 10078966 16706834 20157932 25197415 33413668 41767085 50394830 83534170 85671211 100563779 100789660 142008089 167068340 171342422 201127558 284016178 342684844 402255116 428356055 502818895 568032356 710040445 856712110 1005637790 1420080890 1709584243 1713424220 2011275580 2840161780 3419168486 6838336972 8547921215 17095842430 34191684860 65064765013 130129530026 260259060052 325323825065 650647650130 1106101005221 1301295300260 2212202010442 4424404020884 5530505026105 11061010052210 22122020104420