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225016302303 = 321321111517919
BaseRepresentation
bin1101000110010000000…
…1000100101011011111
3210111210202212111212100
43101210001010223133
512141313133133203
6251212052140143
722154054003652
oct3214401045337
9714722774770
10225016302303
1187479922401
1237739607653
13182b0042a10
14ac686ad899
155cbe7b6ea3
hex3464044adf

225016302303 has 48 divisors (see below), whose sum is σ = 352034242560. Its totient is φ = 137678184000.

The previous prime is 225016302283. The next prime is 225016302317. The reversal of 225016302303 is 303203610522.

225016302303 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 1 + 630 + 23 + 0 + 3 = 666.

It is not a de Polignac number, because 225016302303 - 224 = 224999525087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225016372303) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 28410778 + ... + 28418696.

It is an arithmetic number, because the mean of its divisors is an integer number (7334046720).

Almost surely, 2225016302303 is an apocalyptic number.

225016302303 is a deficient number, since it is larger than the sum of its proper divisors (127017940257).

225016302303 is a wasteful number, since it uses less digits than its factorization.

225016302303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9300 (or 9297 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 225016302303 its reverse (303203610522), we get a palindrome (528219912825).

The spelling of 225016302303 in words is "two hundred twenty-five billion, sixteen million, three hundred two thousand, three hundred three".

Divisors: 1 3 9 13 39 117 211 633 1151 1899 2743 3453 7919 8229 10359 14963 23757 24687 44889 71271 102947 134667 242861 308841 728583 926523 1670909 2185749 3157193 5012727 9114769 9471579 15038181 21721817 27344307 28414737 65165451 82032921 118491997 195496353 355475991 1066427973 1923216259 5769648777 17308946331 25001811367 75005434101 225016302303