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224101125 = 3253296869
BaseRepresentation
bin11010101101110…
…00001100000101
3120121200111221200
431112320030011
5424332214000
634123133113
75360554023
oct1526701405
9517614850
10224101125
11105554546
1263074199
1337575321
1421a97713
1514a1a500
hexd5b8305

224101125 has 48 divisors (see below), whose sum is σ = 417970800. Its totient is φ = 115382400.

The previous prime is 224101109. The next prime is 224101127. The reversal of 224101125 is 521101422.

It can be written as a sum of positive squares in 8 ways, for example, as 143209089 + 80892036 = 11967^2 + 8994^2 .

It is not a de Polignac number, because 224101125 - 24 = 224101109 is a prime.

It is a super-3 number, since 3×2241011253 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 224101098 and 224101107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224101127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29191 + ... + 36059.

It is an arithmetic number, because the mean of its divisors is an integer number (8707725).

Almost surely, 2224101125 is an apocalyptic number.

224101125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

224101125 is a deficient number, since it is larger than the sum of its proper divisors (193869675).

224101125 is a wasteful number, since it uses less digits than its factorization.

224101125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6919 (or 6906 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 224101125 is about 14970.0075150282. The cubic root of 224101125 is about 607.4091720125.

Adding to 224101125 its reverse (521101422), we get a palindrome (745202547).

The spelling of 224101125 in words is "two hundred twenty-four million, one hundred one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 125 145 225 261 375 435 725 1125 1305 2175 3625 6525 6869 10875 20607 32625 34345 61821 103035 171725 199201 309105 515175 597603 858625 996005 1545525 1792809 2575875 2988015 4980025 7727625 8964045 14940075 24900125 44820225 74700375 224101125