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226666240 = 285612903
BaseRepresentation
bin11011000001010…
…10011100000000
3120210111211121221
431200222130000
5431011304430
634254124424
75421426343
oct1540523400
9523454557
10226666240
11106a46779
1263ab0714
1337c62a48
142216445a
1514d7557a
hexd82a700

226666240 has 72 divisors (see below), whose sum is σ = 552027168. Its totient is φ = 89149440.

The previous prime is 226666207. The next prime is 226666243. The reversal of 226666240 is 42666622.

It is a junction number, because it is equal to n+sod(n) for n = 226666196 and 226666205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226666243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76629 + ... + 79531.

It is an arithmetic number, because the mean of its divisors is an integer number (7667044).

Almost surely, 2226666240 is an apocalyptic number.

226666240 is a gapful number since it is divisible by the number (20) 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 226666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276013584).

226666240 is an abundant number, since it is smaller than the sum of its proper divisors (325360928).

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

226666240 is an equidigital number, since it uses as much as digits as its factorization.

226666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2985 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 226666240 is about 15055.4388843368. The cubic root of 226666240 is about 609.7179023495.

The spelling of 226666240 in words is "two hundred twenty-six million, six hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 256 305 320 488 610 640 976 1220 1280 1952 2440 2903 3904 4880 5806 7808 9760 11612 14515 15616 19520 23224 29030 39040 46448 58060 78080 92896 116120 177083 185792 232240 354166 371584 464480 708332 743168 885415 928960 1416664 1770830 1857920 2833328 3541660 3715840 5666656 7083320 11333312 14166640 22666624 28333280 45333248 56666560 113333120 226666240