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224044425225 = 33521117297151
BaseRepresentation
bin1101000010101000010…
…1101010000000001001
3210102022001010001011000
43100222011222000021
512132320333101400
6250531413325213
722121013123045
oct3205205520011
9712261101130
10224044425225
1187020267805
1237508036809
13181868a131a
14abb55a3025
155c642dd600
hex342a16a009

224044425225 has 48 divisors (see below), whose sum is σ = 411947760640. Its totient is φ = 119382984000.

The previous prime is 224044425223. The next prime is 224044425259. The reversal of 224044425225 is 522524440422.

224044425225 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 4 + 4 + 425 + 225 = 666.

It is not a de Polignac number, because 224044425225 - 21 = 224044425223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 224044425225.

It is not an unprimeable number, because it can be changed into a prime (224044425223) 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, 605400 + ... + 902550.

Almost surely, 2224044425225 is an apocalyptic number.

224044425225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

224044425225 is a deficient number, since it is larger than the sum of its proper divisors (187903335415).

224044425225 is a wasteful number, since it uses less digits than its factorization.

224044425225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298287 (or 298276 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 36.

Adding to 224044425225 its reverse (522524440422), we get a palindrome (746568865647).

The spelling of 224044425225 in words is "two hundred twenty-four billion, forty-four million, four hundred twenty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 135 225 675 1117 3351 5585 10053 16755 27925 30159 50265 83775 150795 251325 297151 753975 891453 1485755 2674359 4457265 7428775 8023077 13371795 22286325 40115385 66858975 200576925 331917667 995753001 1659588335 2987259003 4978765005 8297941675 8961777009 14936295015 24893825025 44808885045 74681475075 224044425225