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22244242134440 = 23515728371248529
BaseRepresentation
bin1010000111011001001000…
…01001101001010110101000
32220202112021110222100002002
411003230210021221112220
510403422201441300230
6115150510323430132
74454044025303444
oct503544411512650
986675243870062
1022244242134440
1170a6803862497
1225b30bb825348
13c54813a58741
1456c8ac93d824
15288955423545
hex143b242695a8

22244242134440 has 64 divisors (see below), whose sum is σ = 50386126150800. Its totient is φ = 8837900218368.

The previous prime is 22244242134391. The next prime is 22244242134469. The reversal of 22244242134440 is 4443124244222.

It can be written as a sum of positive squares in 8 ways, for example, as 495804689956 + 21748437444484 = 704134^2 + 4663522^2 .

It is a super-2 number, since 2×222442421344402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22244242134394 and 22244242134403.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17192096 + ... + 18440624.

Almost surely, 222244242134440 is an apocalyptic number.

22244242134440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22244242134440 is an abundant number, since it is smaller than the sum of its proper divisors (28141884016360).

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

22244242134440 is a wasteful number, since it uses less digits than its factorization.

22244242134440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251534 (or 1251530 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 38.

Adding to 22244242134440 its reverse (4443124244222), we get a palindrome (26687366378662).

The spelling of 22244242134440 in words is "twenty-two trillion, two hundred forty-four billion, two hundred forty-two million, one hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 157 314 628 785 1256 1570 2837 3140 5674 6280 11348 14185 22696 28370 56740 113480 445409 890818 1248529 1781636 2227045 2497058 3563272 4454090 4994116 6242645 8908180 9988232 12485290 17816360 24970580 49941160 196019053 392038106 784076212 980095265 1568152424 1960190530 3542076773 3920381060 7084153546 7840762120 14168307092 17710383865 28336614184 35420767730 70841535460 141683070920 556106053361 1112212106722 2224424213444 2780530266805 4448848426888 5561060533610 11122121067220 22244242134440