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2605306230 = 232555751971
BaseRepresentation
bin1001101101001001…
…1101000101110110
320201120100021021100
42123102131011312
520313424244410
61110304430530
7121363510662
oct23322350566
96646307240
102605306230
11111769a14a
12608618446
133269b0227
141aa0238a2
15103acc8c0
hex9b49d176

2605306230 has 48 divisors (see below), whose sum is σ = 6786087984. Its totient is φ = 693487680.

The previous prime is 2605306229. The next prime is 2605306241. The reversal of 2605306230 is 326035062.

2605306230 is a `hidden beast` number, since 2 + 6 + 0 + 5 + 30 + 623 + 0 = 666.

It is a super-3 number, since 3×26053062303 (a number of 29 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2605306194 and 2605306203.

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 23 ways as a sum of consecutive naturals, for example, 24145 + ... + 76115.

It is an arithmetic number, because the mean of its divisors is an integer number (141376833).

Almost surely, 22605306230 is an apocalyptic number.

2605306230 is an abundant number, since it is smaller than the sum of its proper divisors (4180781754).

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

2605306230 is a wasteful number, since it uses less digits than its factorization.

2605306230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52541 (or 52538 counting only the distinct ones).

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

The square root of 2605306230 is about 51042.2004815623. The cubic root of 2605306230 is about 1376.0036713863.

The spelling of 2605306230 in words is "two billion, six hundred five million, three hundred six thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 557 1114 1671 2785 3342 5013 5570 8355 10026 16710 25065 50130 51971 103942 155913 259855 311826 467739 519710 779565 935478 1559130 2338695 4677390 28947847 57895694 86843541 144739235 173687082 260530623 289478470 434217705 521061246 868435410 1302653115 2605306230