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225657245616 = 243112330760527
BaseRepresentation
bin1101001000101000111…
…0000100111110110000
3210120110102220210210120
43102022032010332300
512144121223324431
6251355425530240
722205665640235
oct3221216047660
9716412823716
10225657245616
11877786a5620
12378981a3980
1318382a7560a
14acc987378c
155d0abc1196
hex348a384fb0

225657245616 has 160 divisors (see below), whose sum is σ = 665765388288. Its totient is φ = 65193765120.

The previous prime is 225657245581. The next prime is 225657245699. The reversal of 225657245616 is 616542756522.

225657245616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3697945 + ... + 3758471.

Almost surely, 2225657245616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225657245616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332882694144).

225657245616 is an abundant number, since it is smaller than the sum of its proper divisors (440108142672).

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

225657245616 is a wasteful number, since it uses less digits than its factorization.

225657245616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60879 (or 60873 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 51.

The spelling of 225657245616 in words is "two hundred twenty-five billion, six hundred fifty-seven million, two hundred forty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 307 368 506 528 552 614 759 921 1012 1104 1228 1518 1842 2024 2456 3036 3377 3684 4048 4912 6072 6754 7061 7368 10131 12144 13508 14122 14736 20262 21183 27016 28244 40524 42366 54032 56488 60527 77671 81048 84732 112976 121054 155342 162096 169464 181581 233013 242108 310684 338928 363162 466026 484216 621368 665797 726324 932052 968432 1242736 1331594 1392121 1452648 1864104 1997391 2663188 2784242 2905296 3728208 3994782 4176363 5326376 5568484 7989564 8352726 10652752 11136968 15313331 15979128 16705452 18581789 22273936 30626662 31958256 33410904 37163578 45939993 55745367 61253324 66821808 74327156 91879986 111490734 122506648 148654312 183759972 204399679 222981468 245013296 297308624 367519944 408799358 427381147 445962936 613199037 735039888 817598716 854762294 891925872 1226398074 1282143441 1635197432 1709524588 2452796148 2564286882 3270394864 3419049176 4701192617 4905592296 5128573764 6838098352 9402385234 9811184592 10257147528 14103577851 18804770468 20514295056 28207155702 37609540936 56414311404 75219081872 112828622808 225657245616