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12223001441 = 72249449009
BaseRepresentation
bin10110110001000110…
…00011001101100001
31011112211201210211002
423120203003031201
5200013042021231
65340513201345
7611616540500
oct133043031541
934484653732
1012223001441
115202624992
122451560255
1311ca413441
1483d4aa837
154b81200cb
hex2d88c3361

12223001441 has 6 divisors (see below), whose sum is σ = 14218593570. Its totient is φ = 10476858336.

The previous prime is 12223001431. The next prime is 12223001471. The reversal of 12223001441 is 14410032221.

It can be written as a sum of positive squares in only one way, i.e., 11168051041 + 1054950400 = 105679^2 + 32480^2 .

It is a de Polignac number, because none of the positive numbers 2k-12223001441 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12223001431) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 124724456 + ... + 124724553.

It is an arithmetic number, because the mean of its divisors is an integer number (2369765595).

Almost surely, 212223001441 is an apocalyptic number.

It is an amenable number.

12223001441 is a deficient number, since it is larger than the sum of its proper divisors (1995592129).

12223001441 is an equidigital number, since it uses as much as digits as its factorization.

12223001441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249449023 (or 249449016 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12223001441 its reverse (14410032221), we get a palindrome (26633033662).

The spelling of 12223001441 in words is "twelve billion, two hundred twenty-three million, one thousand, four hundred forty-one".

Divisors: 1 7 49 249449009 1746143063 12223001441