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22202003120240 = 2453112796999547
BaseRepresentation
bin1010000110001010011101…
…00000100110000001110000
32220121111020202211002111202
411003011032200212001300
510402224200244321430
6115115243123030332
74451020222512446
oct503051640460160
986544222732452
1022202003120240
11708a8a8a57999
1225a6a91b0b3a8
13c50841b64908
1456a822c5ab96
152877d20b4d45
hex14314e826070

22202003120240 has 80 divisors (see below), whose sum is σ = 53326476410880. Its totient is φ = 8587602996480.

The previous prime is 22202003120189. The next prime is 22202003120263. The reversal of 22202003120240 is 4202130020222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×222020031202402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 327854 + ... + 6671693.

It is an arithmetic number, because the mean of its divisors is an integer number (666580955136).

Almost surely, 222202003120240 is an apocalyptic number.

22202003120240 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 22202003120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26663238205440).

22202003120240 is an abundant number, since it is smaller than the sum of its proper divisors (31124473290640).

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

22202003120240 is a wasteful number, since it uses less digits than its factorization.

22202003120240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7000870 (or 7000864 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22202003120240 its reverse (4202130020222), we get a palindrome (26404133140462).

The spelling of 22202003120240 in words is "twenty-two trillion, two hundred two billion, three million, one hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 1279 2480 2558 5116 6395 10232 12790 20464 25580 39649 51160 79298 102320 158596 198245 317192 396490 634384 792980 1585960 3171920 6999547 13999094 27998188 34997735 55996376 69995470 111992752 139990940 216985957 279981880 433971914 559963760 867943828 1084929785 1735887656 2169859570 3471775312 4339719140 8679438280 8952420613 17358876560 17904841226 35809682452 44762103065 71619364904 89524206130 143238729808 179048412260 277525039003 358096824520 555050078006 716193649040 1110100156012 1387625195015 2220200312024 2775250390030 4440400624048 5550500780060 11101001560120 22202003120240