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22012333220 = 22514919338273
BaseRepresentation
bin10100100000000010…
…011000110010100100
32002211002002101110202
4110200002120302210
5330040124130340
614040132410032
71406325513413
oct244002306244
962732071422
1022012333220
11937642a829
124323a76918
1320ca57c857
1410cb67147a
1588c767c15
hex520098ca4

22012333220 has 48 divisors (see below), whose sum is σ = 46778482800. Its totient is φ = 8700297216.

The previous prime is 22012333201. The next prime is 22012333223. The reversal of 22012333220 is 2233321022.

It can be written as a sum of positive squares in 8 ways, for example, as 834516544 + 21177816676 = 28888^2 + 145526^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 22012333192 and 22012333201.

It is not an unprimeable number, because it can be changed into a prime (22012333223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 556004 + ... + 594276.

It is an arithmetic number, because the mean of its divisors is an integer number (974551725).

Almost surely, 222012333220 is an apocalyptic number.

22012333220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22012333220 is an abundant number, since it is smaller than the sum of its proper divisors (24766149580).

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

22012333220 is a wasteful number, since it uses less digits than its factorization.

22012333220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38624 (or 38622 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 22012333220 its reverse (2233321022), we get a palindrome (24245654242).

The spelling of 22012333220 in words is "twenty-two billion, twelve million, three hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 149 193 298 386 596 745 772 965 1490 1930 2980 3860 28757 38273 57514 76546 115028 143785 153092 191365 287570 382730 575140 765460 5702677 7386689 11405354 14773378 22810708 28513385 29546756 36933445 57026770 73866890 114053540 147733780 1100616661 2201233322 4402466644 5503083305 11006166610 22012333220