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225200441312 = 2571128308753
BaseRepresentation
bin1101000110111011111…
…1100000011111100000
3210112021121100202002122
43101232333200133200
512142202303110222
6251242231003412
722161451111250
oct3215677403740
9715247322078
10225200441312
1187563861800
123778b209568
131830c235802
14ac84d23960
155cd0a3ba42
hex346efe07e0

225200441312 has 72 divisors (see below), whose sum is σ = 556952398128. Its totient is φ = 87740421120.

The previous prime is 225200441309. The next prime is 225200441317. The reversal of 225200441312 is 213144002522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225200441317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4127273 + ... + 4181480.

It is an arithmetic number, because the mean of its divisors is an integer number (7735449974).

Almost surely, 2225200441312 is an apocalyptic number.

225200441312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

225200441312 is an abundant number, since it is smaller than the sum of its proper divisors (331751956816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225200441312 is a wasteful number, since it uses less digits than its factorization.

225200441312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8308792 (or 8308773 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 225200441312 its reverse (213144002522), we get a palindrome (438344443834).

The spelling of 225200441312 in words is "two hundred twenty-five billion, two hundred million, four hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 154 176 224 242 308 352 484 616 847 968 1232 1694 1936 2464 3388 3872 6776 13552 27104 8308753 16617506 33235012 58161271 66470024 91396283 116322542 132940048 182792566 232645084 265880096 365585132 465290168 639773981 731170264 930580336 1005359113 1279547962 1462340528 1861160672 2010718226 2559095924 2924681056 4021436452 5118191848 7037513791 8042872904 10236383696 14075027582 16085745808 20472767392 28150055164 32171491616 56300110328 112600220656 225200441312