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2505145230 = 232578874483
BaseRepresentation
bin1001010101010001…
…0111101110001110
320110120212120012200
42111110113232032
520112304121410
61052325542330
7116036245260
oct22524275616
96416776180
102505145230
1110760a8765
1259ab749a6
1330c011373
1419a9cdb30
15e9de53c0
hex95517b8e

2505145230 has 96 divisors (see below), whose sum is σ = 7453914624. Its totient is φ = 571831488.

The previous prime is 2505145187. The next prime is 2505145241. The reversal of 2505145230 is 325415052.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2505145194 and 2505145203.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 556569 + ... + 561051.

It is an arithmetic number, because the mean of its divisors is an integer number (77644944).

Almost surely, 22505145230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2505145230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3726957312).

2505145230 is an abundant number, since it is smaller than the sum of its proper divisors (4948769394).

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

2505145230 is a wasteful number, since it uses less digits than its factorization.

2505145230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5390 (or 5387 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2505145230 is about 50051.4258538156. The cubic root of 2505145230 is about 1358.1392571362.

The spelling of 2505145230 in words is "two billion, five hundred five million, one hundred forty-five thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 887 1774 2661 4435 4483 5322 6209 7983 8870 8966 12418 13305 13449 15966 18627 22415 26610 26898 31045 31381 37254 39915 40347 44830 55881 62090 62762 67245 79830 80694 93135 94143 111762 134490 156905 186270 188286 201735 279405 282429 313810 403470 470715 558810 564858 941430 1412145 2824290 3976421 7952842 11929263 19882105 23858526 27834947 35787789 39764210 55669894 59646315 71575578 83504841 119292630 139174735 167009682 178938945 250514523 278349470 357877890 417524205 501029046 835048410 1252572615 2505145230