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230120415 = 3257317877
BaseRepresentation
bin11011011011101…
…01101111011111
3121001000022212100
431231311233133
5432402323130
634500140143
75462664000
oct1555655737
9531008770
10230120415
11108995968
1265097653
13388a2035
14227c31a7
1515308c60
hexdb75bdf

230120415 has 96 divisors (see below), whose sum is σ = 493084800. Its totient is φ = 98896896.

The previous prime is 230120389. The next prime is 230120441. The reversal of 230120415 is 514021032.

230120415 is a `hidden beast` number, since 230 + 1 + 20 + 415 = 666.

It is an interprime number because it is at equal distance from previous prime (230120389) and next prime (230120441).

It is not a de Polignac number, because 230120415 - 25 = 230120383 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 261957 + ... + 262833.

It is an arithmetic number, because the mean of its divisors is an integer number (5136300).

Almost surely, 2230120415 is an apocalyptic number.

230120415 is an abundant number, since it is smaller than the sum of its proper divisors (262964385).

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

230120415 is a wasteful number, since it uses less digits than its factorization.

230120415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 230120415 is about 15169.7203336120. The cubic root of 230120415 is about 612.7994726012.

Adding to 230120415 its reverse (514021032), we get a palindrome (744141447).

The spelling of 230120415 in words is "two hundred thirty million, one hundred twenty thousand, four hundred fifteen".

Divisors: 1 3 5 7 9 15 17 21 35 45 49 51 63 85 105 119 147 153 245 255 315 343 357 441 595 735 765 833 877 1029 1071 1715 1785 2205 2499 2631 3087 4165 4385 5145 5355 5831 6139 7497 7893 12495 13155 14909 15435 17493 18417 29155 30695 37485 39465 42973 44727 52479 55251 74545 87465 92085 104363 128919 134181 214865 223635 262395 276255 300811 313089 386757 521815 644595 670905 730541 902433 939267 1504055 1565445 1933785 2191623 2707299 3652705 4512165 4696335 5113787 6574869 10958115 13536495 15341361 25568935 32874345 46024083 76706805 230120415