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224241131141 = 1727310629053
BaseRepresentation
bin1101000011010111010…
…0000001111010000101
3210102210202020201221022
43100311310001322011
512133221212144031
6251003121400525
722125622110506
oct3206564017205
9712722221838
10224241131141
11871112aa885
1237561a99145
13181b8574161
14abd3768bad
155c766e697b
hex3435d01e85

224241131141 has 12 divisors (see below), whose sum is σ = 241470848772. Its totient is φ = 208159354368.

The previous prime is 224241131129. The next prime is 224241131173. The reversal of 224241131141 is 141131142422.

It can be written as a sum of positive squares in 6 ways, for example, as 63464190241 + 160776940900 = 251921^2 + 400970^2 .

It is not a de Polignac number, because 224241131141 - 230 = 223167389317 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 224241131141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224241139141) 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 11 ways as a sum of consecutive naturals, for example, 5293430 + ... + 5335623.

It is an arithmetic number, because the mean of its divisors is an integer number (20122570731).

Almost surely, 2224241131141 is an apocalyptic number.

It is an amenable number.

224241131141 is a deficient number, since it is larger than the sum of its proper divisors (17229717631).

224241131141 is a wasteful number, since it uses less digits than its factorization.

224241131141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10629160 (or 10629143 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

Adding to 224241131141 its reverse (141131142422), we get a palindrome (365372273563).

The spelling of 224241131141 in words is "two hundred twenty-four billion, two hundred forty-one million, one hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 17 73 289 1241 21097 10629053 180693901 775920869 3071796317 13190654773 224241131141