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226073736 = 23327617727
BaseRepresentation
bin11010111100110…
…01110010001000
3120202101201212100
431132121302020
5430333324421
634233313400
75413411050
oct1536316210
9522351770
10226073736
111066815a9
1263865860
1337ab6155
142204c560
1514ca9c26
hexd799c88

226073736 has 96 divisors (see below), whose sum is σ = 701850240. Its totient is φ = 64399104.

The previous prime is 226073719. The next prime is 226073753. The reversal of 226073736 is 637370622.

226073736 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (226073719) and next prime (226073753).

It is a super-2 number, since 2×2260737362 = 102218668217995392, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 226073736.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310605 + ... + 311331.

It is an arithmetic number, because the mean of its divisors is an integer number (7310940).

Almost surely, 2226073736 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 226073736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350925120).

226073736 is an abundant number, since it is smaller than the sum of its proper divisors (475776504).

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

226073736 is a wasteful number, since it uses less digits than its factorization.

226073736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 226073736 is about 15035.7486012503. The cubic root of 226073736 is about 609.1861726261.

The spelling of 226073736 in words is "two hundred twenty-six million, seventy-three thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 617 727 1234 1454 1851 2181 2468 2908 3702 4319 4362 4936 5089 5553 5816 6543 7404 8638 8724 10178 11106 12957 13086 14808 15267 17276 17448 20356 22212 25914 26172 30534 34552 38871 40712 44424 45801 51828 52344 61068 77742 91602 103656 122136 155484 183204 310968 366408 448559 897118 1345677 1794236 2691354 3139913 3588472 4037031 5382708 6279826 8074062 9419739 10765416 12559652 16148124 18839478 25119304 28259217 32296248 37678956 56518434 75357912 113036868 226073736