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22324224132241 = 269741711189117
BaseRepresentation
bin1010001001101110000110…
…11100110000010010010001
32221001011201120012210200221
411010313003130300102101
510411230002334212431
6115251335035313041
74462605041126503
oct504670334602221
987034646183627
1022324224132241
117127717593219
1226067015ab781
13c5c21c229565
145726d914dd73
1528aa87038111
hex144dc3730491

22324224132241 has 8 divisors (see below), whose sum is σ = 22410236877480. Its totient is φ = 22238233780608.

The previous prime is 22324224132233. The next prime is 22324224132247. The reversal of 22324224132241 is 14223142242322.

It can be written as a sum of positive squares in 4 ways, for example, as 769523700625 + 21554700431616 = 877225^2 + 4642704^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22324224132241 - 23 = 22324224132233 is a prime.

It is a super-3 number, since 3×223242241322413 (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22324224132197 and 22324224132206.

It is not an unprimeable number, because it can be changed into a prime (22324224132247) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3599386 + ... + 7589731.

It is an arithmetic number, because the mean of its divisors is an integer number (2801279609685).

Almost surely, 222324224132241 is an apocalyptic number.

It is an amenable number.

22324224132241 is a deficient number, since it is larger than the sum of its proper divisors (86012745239).

22324224132241 is a wasteful number, since it uses less digits than its factorization.

22324224132241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11196803.

The product of its digits is 73728, while the sum is 34.

Adding to 22324224132241 its reverse (14223142242322), we get a palindrome (36547366374563).

The spelling of 22324224132241 in words is "twenty-two trillion, three hundred twenty-four billion, two hundred twenty-four million, one hundred thirty-two thousand, two hundred forty-one".

Divisors: 1 269 7417 1995173 11189117 3009872473 82989680789 22324224132241