Search a number
-
+
22210001222000 = 245334573212323
BaseRepresentation
bin1010000110011001010110…
…01110111011100101110000
32220122020220011122202111212
411003030223032323211300
510402342040303101000
6115123044514055252
74451422351325414
oct503145316734560
986566804582455
1022210001222000
117093232749149
1225a854457a528
13c51517b919c7
1456ad8118cd44
15287aee337c35
hex14332b3bb970

22210001222000 has 80 divisors (see below), whose sum is σ = 53719334471712. Its totient is φ = 8881427865600.

The previous prime is 22210001221981. The next prime is 22210001222047. The reversal of 22210001222000 is 22210001222.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5307839 + ... + 8520161.

Almost surely, 222210001222000 is an apocalyptic number.

22210001222000 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 22210001222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26859667235856).

22210001222000 is an abundant number, since it is smaller than the sum of its proper divisors (31509333249712).

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

22210001222000 is a wasteful number, since it uses less digits than its factorization.

22210001222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3215803 (or 3215787 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22210001222000 its reverse (22210001222), we get a palindrome (22232211223222).

22210001222000 divided by its reverse (22210001222) gives a cube (1000 = 103).

The spelling of 22210001222000 in words is "twenty-two trillion, two hundred ten billion, one million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 3457 6914 13828 17285 27656 34570 55312 69140 86425 138280 172850 276560 345700 432125 691400 864250 1382800 1728500 3212323 3457000 6424646 6914000 12849292 16061615 25698584 32123230 51397168 64246460 80308075 128492920 160616150 256985840 321232300 401540375 642464600 803080750 1284929200 1606161500 3212323000 6424646000 11105000611 22210001222 44420002444 55525003055 88840004888 111050006110 177680009776 222100012220 277625015275 444200024440 555250030550 888400048880 1110500061100 1388125076375 2221000122200 2776250152750 4442000244400 5552500305500 11105000611000 22210001222000