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6225027280 = 2452311632909
BaseRepresentation
bin1011100110000101…
…00110000011010000
3121001211111011001221
411303002212003100
5100222101333110
62505411534424
7310155600403
oct56302460320
917054434057
106225027280
11270495814a
1212588ba414
137828a67c4
14430a67d3a
152667877da
hex1730a60d0

6225027280 has 80 divisors (see below), whose sum is σ = 15120639360. Its totient is φ = 2378883584.

The previous prime is 6225027269. The next prime is 6225027313. The reversal of 6225027280 is 827205226.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2138466 + ... + 2141374.

It is an arithmetic number, because the mean of its divisors is an integer number (189007992).

Almost surely, 26225027280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6225027280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7560319680).

6225027280 is an abundant number, since it is smaller than the sum of its proper divisors (8895612080).

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

6225027280 is a wasteful number, since it uses less digits than its factorization.

6225027280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4108 (or 4102 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 6225027280 is about 78898.8420700836. The cubic root of 6225027280 is about 1839.5591335067.

The spelling of 6225027280 in words is "six billion, two hundred twenty-five million, twenty-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1163 1840 2326 2909 4652 5815 5818 9304 11630 11636 14545 18608 23260 23272 26749 29090 46520 46544 53498 58180 66907 93040 106996 116360 133745 133814 213992 232720 267490 267628 334535 427984 534980 535256 669070 1069960 1070512 1338140 2139920 2676280 3383167 5352560 6766334 13532668 16915835 27065336 33831670 54130672 67663340 77812841 135326680 155625682 270653360 311251364 389064205 622502728 778128410 1245005456 1556256820 3112513640 6225027280