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22110212220 = 223519123715679
BaseRepresentation
bin10100100101110111…
…110001000001111100
32010001220021011012220
4110211313301001330
5330240203242340
614053550325340
71411624463055
oct244567610174
963056234186
1022110212220
119416702768
1243507b9850
13211492cb15
1410da66d72c
1589614ded0
hex525df107c

22110212220 has 96 divisors (see below), whose sum is σ = 65223782400. Its totient is φ = 5580866304.

The previous prime is 22110212213. The next prime is 22110212221. The reversal of 22110212220 is 2221201122.

It is a super-2 number, since 2×221102122202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22110212220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22110212221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1402341 + ... + 1418019.

It is an arithmetic number, because the mean of its divisors is an integer number (679414400).

Almost surely, 222110212220 is an apocalyptic number.

22110212220 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 22110212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32611891200).

22110212220 is an abundant number, since it is smaller than the sum of its proper divisors (43113570180).

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

22110212220 is a wasteful number, since it uses less digits than its factorization.

22110212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16947 (or 16945 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22110212220 its reverse (2221201122), we get a palindrome (24331413342).

The spelling of 22110212220 in words is "twenty-two billion, one hundred ten million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1237 2474 3711 4948 6185 7422 12370 14844 15679 18555 23503 24740 31358 37110 47006 47037 62716 70509 74220 78395 94012 94074 117515 141018 156790 188148 235030 235185 282036 297901 313580 352545 470060 470370 595802 705090 893703 940740 1191604 1410180 1489505 1787406 2979010 3574812 4468515 5958020 8937030 17874060 19394923 38789846 58184769 77579692 96974615 116369538 193949230 232739076 290923845 368503537 387898460 581847690 737007074 1105510611 1163695380 1474014148 1842517685 2211021222 3685035370 4422042444 5527553055 7370070740 11055106110 22110212220