Search a number
-
+
14228010 = 23251491061
BaseRepresentation
bin110110010001…
…101000101010
3222202212011100
4312101220222
512120244020
61224542230
7231636036
oct66215052
928685140
1014228010
118038795
124921976
132c42154
141c651c6
1513b0a90
hexd91a2a

14228010 has 48 divisors (see below), whose sum is σ = 37276200. Its totient is φ = 3765120.

The previous prime is 14227991. The next prime is 14228021. The reversal of 14228010 is 1082241.

It can be written as a sum of positive squares in 4 ways, for example, as 9678321 + 4549689 = 3111^2 + 2133^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12880 + ... + 13940.

Almost surely, 214228010 is an apocalyptic number.

14228010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14228010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18638100).

14228010 is an abundant number, since it is smaller than the sum of its proper divisors (23048190).

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

14228010 is a wasteful number, since it uses less digits than its factorization.

14228010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 14228010 is about 3772.0034464459. The cubic root of 14228010 is about 242.3156071605.

The spelling of 14228010 in words is "fourteen million, two hundred twenty-eight thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 149 298 447 745 894 1061 1341 1490 2122 2235 2682 3183 4470 5305 6366 6705 9549 10610 13410 15915 19098 31830 47745 95490 158089 316178 474267 790445 948534 1422801 1580890 2371335 2845602 4742670 7114005 14228010