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22020001120 = 2551326340253
BaseRepresentation
bin10100100000011111…
…101000110101100000
32002211121111221212001
4110200133220311200
5330044110013440
614041005013344
71406450630665
oct244037506540
962747457761
1022020001120
11937a797837
124326554254
1320cc035a80
1410cc6a9a6c
1588d27eb9a
hex5207e8d60

22020001120 has 96 divisors (see below), whose sum is σ = 56238380352. Its totient is φ = 8099346432.

The previous prime is 22020001103. The next prime is 22020001147. The reversal of 22020001120 is 2110002022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 22020001097 and 22020001106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526914 + ... + 567166.

It is an arithmetic number, because the mean of its divisors is an integer number (585816462).

Almost surely, 222020001120 is an apocalyptic number.

22020001120 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 22020001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28119190176).

22020001120 is an abundant number, since it is smaller than the sum of its proper divisors (34218379232).

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

22020001120 is a wasteful number, since it uses less digits than its factorization.

22020001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40544 (or 40536 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22020001120 its reverse (2110002022), we get a palindrome (24130003142).

The spelling of 22020001120 in words is "twenty-two billion, twenty million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 263 416 520 526 1040 1052 1315 2080 2104 2630 3419 4208 5260 6838 8416 10520 13676 17095 21040 27352 34190 40253 42080 54704 68380 80506 109408 136760 161012 201265 273520 322024 402530 523289 547040 644048 805060 1046578 1288096 1610120 2093156 2616445 3220240 4186312 5232890 6440480 8372624 10465780 10586539 16745248 20931560 21173078 41863120 42346156 52932695 83726240 84692312 105865390 137625007 169384624 211730780 275250014 338769248 423461560 550500028 688125035 846923120 1101000056 1376250070 1693846240 2202000112 2752500140 4404000224 5505000280 11010000560 22020001120