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22266213131052 = 223211346116246117
BaseRepresentation
bin1010001000000010000011…
…01110010110001100101100
32220211121222200021121101100
411010001001232112030230
510404302201030143202
6115204542422243100
74455452342554242
oct504010156261454
986747880247340
1022266213131052
117105058919430
1225b7411886490
13c56905894257
1456d9948d0792
152892de22341c
hex144041b9632c

22266213131052 has 72 divisors (see below), whose sum is σ = 61418514083472. Its totient is φ = 6745387363200.

The previous prime is 22266213131021. The next prime is 22266213131059. The reversal of 22266213131052 is 25013131266222.

22266213131052 is a `hidden beast` number, since 2 + 2 + 2 + 6 + 621 + 3 + 13 + 10 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22266213130998 and 22266213131016.

It is not an unprimeable number, because it can be changed into a prime (22266213131059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6752503 + ... + 9493614.

It is an arithmetic number, because the mean of its divisors is an integer number (853034917826).

Almost surely, 222266213131052 is an apocalyptic number.

22266213131052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22266213131052 is an abundant number, since it is smaller than the sum of its proper divisors (39152300952420).

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

22266213131052 is a wasteful number, since it uses less digits than its factorization.

22266213131052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16249599 (or 16249594 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 22266213131052 its reverse (25013131266222), we get a palindrome (47279344397274).

The spelling of 22266213131052 in words is "twenty-two trillion, two hundred sixty-six billion, two hundred thirteen million, one hundred thirty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 3461 6922 10383 13844 20766 31149 38071 41532 62298 76142 114213 124596 152284 228426 342639 456852 685278 1370556 16246117 32492234 48738351 64984468 97476702 146215053 178707287 194953404 292430106 357414574 536121861 584860212 714829148 1072243722 1608365583 2144487444 3216731166 6433462332 56227810937 112455621874 168683432811 224911243748 337366865622 506050298433 618505920307 674733731244 1012100596866 1237011840614 1855517760921 2024201193732 2474023681228 3711035521842 5566553282763 7422071043684 11133106565526 22266213131052