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225455751053568 = 283374659717077
BaseRepresentation
bin110011010000110100000001…
…111101000100000100000000
31002120021100200221020000122000
4303100310001331010010000
5214022331334232203233
62115300535302544000
765326432454210430
oct6320640175040400
91076240627200560
10225455751053568
1165923279939a22
1221352a02a38000
1398a55033499a9
143d9618bc462c0
151b0e94c745d13
hexcd0d01f44100

225455751053568 has 144 divisors (see below), whose sum is σ = 761956936594560. Its totient is φ = 64415928858624.

The previous prime is 225455751053543. The next prime is 225455751053587. The reversal of 225455751053568 is 865350157554522.

225455751053568 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 5 + 5 + 7 + 5 + 10 + 53 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2329810155 + ... + 2329906922.

It is an arithmetic number, because the mean of its divisors is an integer number (5291367615240).

Almost surely, 2225455751053568 is an apocalyptic number.

225455751053568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

225455751053568 is an abundant number, since it is smaller than the sum of its proper divisors (536501185540992).

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

225455751053568 is an equidigital number, since it uses as much as digits as its factorization.

225455751053568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4659717109 (or 4659717089 counting only the distinct ones).

The product of its (nonzero) digits is 252000000, while the sum is 63.

The spelling of 225455751053568 in words is "two hundred twenty-five trillion, four hundred fifty-five billion, seven hundred fifty-one million, fifty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 24192 48384 4659717077 9319434154 13979151231 18638868308 27958302462 32618019539 37277736616 41937453693 55916604924 65236039078 74555473232 83874907386 97854058617 111833209848 125812361079 130472078156 149110946464 167749814772 195708117234 223666419696 251624722158 260944156312 293562175851 298221892928 335499629544 391416234468 447332839392 503249444316 521888312624 587124351702 596443785856 670999259088 782832468936 880686527553 894665678784 1006498888632 1043776625248 1174248703404 1192887571712 1341998518176 1565664937872 1761373055106 1789331357568 2012997777264 2087553250496 2348497406808 2683997036352 3131329875744 3522746110212 3578662715136 4025995554528 4175106500992 4696994813616 5367994072704 6262659751488 7045492220424 8051991109056 8350213001984 9393989627232 10735988145408 12525319502976 14090984440848 16103982218112 18787979254464 25050639005952 28181968881696 32207964436224 37575958508928 56363937763392 75151917017856 112727875526784 225455751053568