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6228942120 = 2334517113089
BaseRepresentation
bin1011100110100011…
…00001110100101000
3121002002212001020000
411303101201310220
5100224102121440
62510031503000
7310234064052
oct56321416450
917062761200
106228942120
112707091455
12125a087a60
1378364768b
144313a68d2
15266cac730
hex173461d28

6228942120 has 160 divisors (see below), whose sum is σ = 22167901800. Its totient is φ = 1563328512.

The previous prime is 6228942113. The next prime is 6228942131. The reversal of 6228942120 is 212498226.

6228942120 is a `hidden beast` number, since 6 + 228 + 9 + 421 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5550548004 + 678394116 = 74502^2 + 26046^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1465 + ... + 111624.

Almost surely, 26228942120 is an apocalyptic number.

6228942120 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 6228942120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11083950900).

6228942120 is an abundant number, since it is smaller than the sum of its proper divisors (15938959680).

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

6228942120 is a wasteful number, since it uses less digits than its factorization.

6228942120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113129 (or 113116 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6228942120 is about 78923.6474068451. The cubic root of 6228942120 is about 1839.9446777633.

The spelling of 6228942120 in words is "six billion, two hundred twenty-eight million, nine hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 81 85 90 102 108 120 135 136 153 162 170 180 204 216 255 270 306 324 340 360 405 408 459 510 540 612 648 680 765 810 918 1020 1080 1224 1377 1530 1620 1836 2040 2295 2754 3060 3240 3672 4590 5508 6120 6885 9180 11016 13770 18360 27540 55080 113089 226178 339267 452356 565445 678534 904712 1017801 1130890 1357068 1696335 1922513 2035602 2261780 2714136 3053403 3392670 3845026 4071204 4523560 5089005 5767539 6106806 6785340 7690052 8142408 9160209 9612565 10178010 11535078 12213612 13570680 15267015 15380104 17302617 18320418 19225130 20356020 23070156 24427224 28837695 30534030 34605234 36640836 38450260 40712040 45801045 46140312 51907851 57675390 61068060 69210468 73281672 76900520 86513085 91602090 103815702 115350780 122136120 138420936 155723553 173026170 183204180 207631404 230701560 259539255 311447106 346052340 366408360 415262808 519078510 622894212 692104680 778617765 1038157020 1245788424 1557235530 2076314040 3114471060 6228942120