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22201230312 = 233213710912063
BaseRepresentation
bin10100101011010010…
…111110001111101000
32010022020112100120100
4110223102332033220
5330432003332222
614111001225400
71414111225662
oct245322761750
963266470510
1022201230312
119463019a28
124377192260
13212a74a291
1411087a3532
1589e12c4ac
hex52b4be3e8

22201230312 has 96 divisors (see below), whose sum is σ = 60652126080. Its totient is φ = 7336101120.

The previous prime is 22201230307. The next prime is 22201230319. The reversal of 22201230312 is 21303210222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22201230319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10760593 + ... + 10762655.

It is an arithmetic number, because the mean of its divisors is an integer number (631792980).

Almost surely, 222201230312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22201230312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30326063040).

22201230312 is an abundant number, since it is smaller than the sum of its proper divisors (38450895768).

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

22201230312 is a wasteful number, since it uses less digits than its factorization.

22201230312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3303 (or 3296 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22201230312 its reverse (21303210222), we get a palindrome (43504440534).

The spelling of 22201230312 in words is "twenty-two billion, two hundred one million, two hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 274 411 548 822 1091 1096 1233 1644 2063 2182 2466 3273 3288 4126 4364 4932 6189 6546 8252 8728 9819 9864 12378 13092 16504 18567 19638 24756 26184 37134 39276 49512 74268 78552 148536 149467 282631 298934 448401 565262 597868 847893 896802 1130524 1195736 1345203 1695786 1793604 2250733 2261048 2543679 2690406 3391572 3587208 4501466 5087358 5380812 6752199 6783144 9002932 10174716 10761624 13504398 18005864 20256597 20349432 27008796 40513194 54017592 81026388 162052776 308350421 616700842 925051263 1233401684 1850102526 2466803368 2775153789 3700205052 5550307578 7400410104 11100615156 22201230312