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16228368 = 2432138669
BaseRepresentation
bin111101111010…
…000000010000
31010112111010200
4331322000100
513123301433
61335455200
7254640012
oct75720020
933474120
1016228368
119184682
125527500
1334927b0
1422261b2
151658613
hexf7a010

16228368 has 60 divisors (see below), whose sum is σ = 48916140. Its totient is φ = 4992768.

The previous prime is 16228361. The next prime is 16228397. The reversal of 16228368 is 86382261.

It can be written as a sum of positive squares in 2 ways, for example, as 4613904 + 11614464 = 2148^2 + 3408^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (16228361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2463 + ... + 6206.

It is an arithmetic number, because the mean of its divisors is an integer number (815269).

Almost surely, 216228368 is an apocalyptic number.

16228368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16228368 is an abundant number, since it is smaller than the sum of its proper divisors (32687772).

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

16228368 is a wasteful number, since it uses less digits than its factorization.

16228368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8696 (or 8687 counting only the distinct ones).

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

The square root of 16228368 is about 4028.4448612337. Note that the first 3 decimals coincide. The cubic root of 16228368 is about 253.1774078957.

The spelling of 16228368 in words is "sixteen million, two hundred twenty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 8669 17338 26007 34676 52014 69352 78021 104028 112697 138704 156042 208056 225394 312084 338091 416112 450788 624168 676182 901576 1014273 1248336 1352364 1803152 2028546 2704728 4057092 5409456 8114184 16228368