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226430736 = 2437743907
BaseRepresentation
bin11010111111100…
…00111100010000
3120210001212120120
431133300330100
5430431240421
634245110240
75416425630
oct1537607420
9523055516
10226430736
111068a5844
12639b8380
1337bac7ac
14221026c0
1514d2a8c6
hexd7f0f10

226430736 has 80 divisors (see below), whose sum is σ = 670147584. Its totient is φ = 64536192.

The previous prime is 226430717. The next prime is 226430747. The reversal of 226430736 is 637034622.

226430736 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 226430697 and 226430706.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249195 + ... + 250101.

Almost surely, 2226430736 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 226430736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335073792).

226430736 is an abundant number, since it is smaller than the sum of its proper divisors (443716848).

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

226430736 is a wasteful number, since it uses less digits than its factorization.

226430736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The square root of 226430736 is about 15047.6156250750. The cubic root of 226430736 is about 609.5066655350.

The spelling of 226430736 in words is "two hundred twenty-six million, four hundred thirty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 743 907 1486 1814 2229 2721 2972 3628 4458 5201 5442 5944 6349 7256 8916 10402 10884 11888 12698 14512 15603 17832 19047 20804 21768 25396 31206 35664 38094 41608 43536 50792 62412 76188 83216 101584 124824 152376 249648 304752 673901 1347802 2021703 2695604 4043406 4717307 5391208 8086812 9434614 10782416 14151921 16173624 18869228 28303842 32347248 37738456 56607684 75476912 113215368 226430736