Search a number
-
+
2258708112 = 243331227743
BaseRepresentation
bin1000011010100001…
…0010011010010000
312211102011021001000
42012220102122100
514111212124422
61012043542000
7106654462563
oct20650223220
95742137030
102258708112
11a59a88921
1253052a900
1329cc4859b
14175da04da
15d3466cac
hex86a12690

2258708112 has 160 divisors (see below), whose sum is σ = 6730997760. Its totient is φ = 724429440.

The previous prime is 2258708083. The next prime is 2258708113. The reversal of 2258708112 is 2118078522.

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

It is not an unprimeable number, because it can be changed into a prime (2258708113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3039613 + ... + 3040355.

It is an arithmetic number, because the mean of its divisors is an integer number (42068736).

Almost surely, 22258708112 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 2258708112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365498880).

2258708112 is an abundant number, since it is smaller than the sum of its proper divisors (4472289648).

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

2258708112 is a wasteful number, since it uses less digits than its factorization.

2258708112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 2258708112 is about 47525.8678195359. The cubic root of 2258708112 is about 1312.0590178934.

The spelling of 2258708112 in words is "two billion, two hundred fifty-eight million, seven hundred eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 227 248 279 372 432 454 496 558 681 743 744 837 908 1116 1362 1486 1488 1674 1816 2043 2229 2232 2724 2972 3348 3632 4086 4458 4464 5448 5944 6129 6687 6696 7037 8172 8916 10896 11888 12258 13374 13392 14074 16344 17832 20061 21111 23033 24516 26748 28148 32688 35664 40122 42222 46066 49032 53496 56296 63333 69099 80244 84444 92132 98064 106992 112592 126666 138198 160488 168661 168888 184264 189999 207297 253332 276396 320976 337322 337776 368528 379998 414594 505983 506664 552792 621891 674644 759996 829188 1011966 1013328 1105584 1243782 1349288 1517949 1519992 1658376 2023932 2487564 2698576 3035898 3039984 3316752 4047864 4553847 4975128 5228491 6071796 8095728 9107694 9950256 10456982 12143592 15685473 18215388 20913964 24287184 31370946 36430776 41827928 47056419 62741892 72861552 83655856 94112838 125483784 141169257 188225676 250967568 282338514 376451352 564677028 752902704 1129354056 2258708112