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225002302042014 = 2327712391790437
BaseRepresentation
bin110011001010001101101110…
…010010010110111110011110
31002111200000021021220112121200
4303022031232102112332132
5213442414203310321024
62114312344112540330
765251610540206410
oct6312155622267636
91074600237815550
10225002302042014
1165768a38783102
122129ab538516a6
13987181a5455c3
143d7c2532689b0
151b02c5d7bd2c9
hexcca36e496f9e

225002302042014 has 144 divisors (see below), whose sum is σ = 565256764017504. Its totient is φ = 63364048513920.

The previous prime is 225002302041983. The next prime is 225002302042031. The reversal of 225002302042014 is 410240203200522.

225002302042014 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 0 + 230 + 2 + 0 + 420 + 1 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2487900004 + ... + 2487990440.

It is an arithmetic number, because the mean of its divisors is an integer number (3925394194566).

Almost surely, 2225002302042014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225002302042014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282628382008752).

225002302042014 is an abundant number, since it is smaller than the sum of its proper divisors (340254461975490).

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

225002302042014 is a wasteful number, since it uses less digits than its factorization.

225002302042014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94511 (or 94437 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 225002302042014 its reverse (410240203200522), we get a palindrome (635242505242536).

The spelling of 225002302042014 in words is "two hundred twenty-five trillion, two billion, three hundred two million, forty-two thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 71 126 142 213 426 497 639 994 1278 1491 2982 3917 4473 5041 7834 8946 10082 11751 15123 23502 27419 30246 35253 35287 45369 54838 70506 70574 82257 90437 90738 105861 164514 180874 211722 246771 271311 278107 317583 493542 542622 556214 633059 635166 813933 834321 1266118 1627866 1668642 1899177 1946749 2502963 3798354 3893498 5005926 5697531 5840247 6421027 11395062 11680494 12842054 17520741 19263081 19745597 35041482 38526162 39491194 44947189 57789243 59236791 89894378 115578486 118473582 134841567 138219179 177710373 269683134 276438358 354241729 355420746 404524701 414657537 455892917 708483458 809049402 829315074 911785834 1062725187 1243972611 1367678751 2125450374 2479692103 2487945222 2735357502 3188175561 3191250419 4103036253 4959384206 6376351122 6382500838 7439076309 8206072506 9573751257 14878152618 19147502514 22317228927 25151162759 28721253771 44634457854 50302325518 57442507542 75453488277 150906976554 176058139313 226360464831 352116278626 452720929662 528174417939 1056348835878 1584523253817 1785732555889 3169046507634 3571465111778 5357197667667 10714395335334 12500127891223 16071593003001 25000255782446 32143186006002 37500383673669 75000767347338 112501151021007 225002302042014