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22241440320 = 2635112106197
BaseRepresentation
bin10100101101101100…
…010111001001000000
32010102001012020022220
4110231230113021000
5331022302042240
614114555131040
71415110060221
oct245554271100
963361166286
1022241440320
119483793340
124388743a80
132135b88598
14110dc6d248
158a29215d0
hex52db17240

22241440320 has 112 divisors (see below), whose sum is σ = 77036298048. Its totient is φ = 5391861760.

The previous prime is 22241440283. The next prime is 22241440321. The reversal of 22241440320 is 2304414222.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (22241440321) 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, 1042539 + ... + 1063658.

Almost surely, 222241440320 is an apocalyptic number.

22241440320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22241440320 is an abundant number, since it is smaller than the sum of its proper divisors (54794857728).

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

22241440320 is a wasteful number, since it uses less digits than its factorization.

22241440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106228 (or 2106218 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 22241440320 its reverse (2304414222), we get a palindrome (24545854542).

The spelling of 22241440320 in words is "twenty-two billion, two hundred forty-one million, four hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 2106197 4212394 6318591 8424788 10530985 12637182 16849576 21061970 23168167 25274364 31592955 33699152 42123940 46336334 50548728 63185910 67398304 69504501 84247880 92672668 101097456 115840835 126371820 134796608 139009002 168495760 185345336 202194912 231681670 252743640 278018004 336991520 347522505 370690672 404389824 463363340 505487280 556036008 673983040 695045010 741381344 926726680 1010974560 1112072016 1390090020 1482762688 1853453360 2021949120 2224144032 2780180040 3706906720 4448288064 5560360080 7413813440 11120720160 22241440320