Search a number
-
+
6226124040 = 23325163106103
BaseRepresentation
bin1011100110001101…
…10001110100001000
3121001220112212112200
411303012301310020
5100222341432130
62505451240200
7310201116063
oct56306616410
917056485480
106226124040
112705537164
121259149060
13782b9ba86
14430c718da
15266902760
hex1731b1d08

6226124040 has 96 divisors (see below), whose sum is σ = 20359235520. Its totient is φ = 1650098304.

The previous prime is 6226124017. The next prime is 6226124071. The reversal of 6226124040 is 404216226.

6226124040 is a `hidden beast` number, since 6 + 2 + 2 + 612 + 4 + 0 + 40 = 666.

It is a super-2 number, since 2×62261240402 = 77529241122931843200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6226123995 and 6226124013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5629 + ... + 111731.

It is an arithmetic number, because the mean of its divisors is an integer number (212075370).

Almost surely, 26226124040 is an apocalyptic number.

6226124040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6226124040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10179617760).

6226124040 is an abundant number, since it is smaller than the sum of its proper divisors (14133111480).

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

6226124040 is a wasteful number, since it uses less digits than its factorization.

6226124040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106283 (or 106276 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 6226124040 is about 78905.7921828303. The cubic root of 6226124040 is about 1839.6671617561.

The spelling of 6226124040 in words is "six billion, two hundred twenty-six million, one hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 163 180 326 360 489 652 815 978 1304 1467 1630 1956 2445 2934 3260 3912 4890 5868 6520 7335 9780 11736 14670 19560 29340 58680 106103 212206 318309 424412 530515 636618 848824 954927 1061030 1273236 1591545 1909854 2122060 2546472 3183090 3819708 4244120 4774635 6366180 7639416 9549270 12732360 17294789 19098540 34589578 38197080 51884367 69179156 86473945 103768734 138358312 155653101 172947890 207537468 259421835 311306202 345895780 415074936 518843670 622612404 691791560 778265505 1037687340 1245224808 1556531010 2075374680 3113062020 6226124040