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11722000225 = 5213175773677
BaseRepresentation
bin10101110101010111…
…11000011101100001
31010020221000022100111
422322223320131201
5143001313001400
65215055051321
7563324233525
oct127253703541
933227008314
1011722000225
114a758442a1
122331810b41
13114a69a710
147d2b33d85
1548915a3ba
hex2baaf8761

11722000225 has 48 divisors (see below), whose sum is σ = 16607405808. Its totient is φ = 8130723840.

The previous prime is 11722000223. The next prime is 11722000231. The reversal of 11722000225 is 52200022711.

It can be written as a sum of positive squares in 24 ways, for example, as 2348662369 + 9373337856 = 48463^2 + 96816^2 .

It is not a de Polignac number, because 11722000225 - 21 = 11722000223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11722000196 and 11722000205.

It is not an unprimeable number, because it can be changed into a prime (11722000223) 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 47 ways as a sum of consecutive naturals, for example, 3186087 + ... + 3189763.

It is an arithmetic number, because the mean of its divisors is an integer number (345987621).

Almost surely, 211722000225 is an apocalyptic number.

11722000225 is the 62509-th octagonal number.

It is an amenable number.

11722000225 is a deficient number, since it is larger than the sum of its proper divisors (4885405583).

11722000225 is a wasteful number, since it uses less digits than its factorization.

11722000225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4294 (or 4289 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

Adding to 11722000225 its reverse (52200022711), we get a palindrome (63922022936).

The spelling of 11722000225 in words is "eleven billion, seven hundred twenty-two million, two hundred twenty-five", and thus it is an aban number.

Divisors: 1 5 13 17 25 65 85 221 325 425 577 1105 2885 3677 5525 7501 9809 14425 18385 37505 47801 49045 62509 91925 127517 187525 239005 245225 312545 637585 812617 1195025 1562725 2121629 3187925 4063085 10608145 20315425 27581177 36067693 53040725 137905885 180338465 468880009 689529425 901692325 2344400045 11722000225