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224354541231145 = 513109313101169749
BaseRepresentation
bin110011000000110010011100…
…101110111101110000101001
31002102101002021201122220112101
4303000302130232331300221
5213401311100023344040
62113055015310413401
765154036452155003
oct6300623456756051
91072332251586471
10224354541231145
1165539254683496
12211b54b5b01261
139825708a1b480
143d58b63c13373
151ae0e9a96909a
hexcc0c9cbbdc29

224354541231145 has 32 divisors (see below), whose sum is σ = 293529865860000. Its totient is φ = 163632759773184.

The previous prime is 224354541231109. The next prime is 224354541231157. The reversal of 224354541231145 is 541132145453422.

224354541231145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 71350406804889 + 153004134426256 = 8446917^2 + 12369484^2 .

It is not a de Polignac number, because 224354541231145 - 27 = 224354541231017 is a prime.

It is a super-2 number, since 2×2243545412311452 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 224354541231095 and 224354541231104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48367270 + ... + 52802479.

It is an arithmetic number, because the mean of its divisors is an integer number (9172808308125).

Almost surely, 2224354541231145 is an apocalyptic number.

It is an amenable number.

224354541231145 is a deficient number, since it is larger than the sum of its proper divisors (69175324628855).

224354541231145 is a wasteful number, since it uses less digits than its factorization.

224354541231145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101170189.

The product of its digits is 2304000, while the sum is 46.

Adding to 224354541231145 its reverse (541132145453422), we get a palindrome (765486686684567).

The spelling of 224354541231145 in words is "two hundred twenty-four trillion, three hundred fifty-four billion, five hundred forty-one million, two hundred thirty-one thousand, one hundred forty-five".

Divisors: 1 5 13 65 109 313 545 1417 1565 4069 7085 20345 34117 170585 443521 2217605 101169749 505848745 1315206737 6576033685 11027502641 31666131437 55137513205 143357534333 158330657185 411659708681 716787671665 2058298543405 3451608326633 17258041633165 44870908246229 224354541231145