Search a number
-
+
226096768 = 277324197
BaseRepresentation
bin11010111100111…
…11011010000000
3120202102220110101
431132133122000
5430340044033
634234012144
75413535152
oct1536373200
9522386411
10226096768
11106697937
1263877054
1337ac3791
1422056ad2
1514cb197d
hexd79f680

226096768 has 32 divisors (see below), whose sum is σ = 456616260. Its totient is φ = 111495168.

The previous prime is 226096723. The next prime is 226096769. The reversal of 226096768 is 867690622.

It is a happy number.

226096768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 223562304 + 2534464 = 14952^2 + 1592^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2260967682 = 102239497000091648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226096769) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2755 + ... + 21442.

Almost surely, 2226096768 is an apocalyptic number.

It is an amenable number.

226096768 is an abundant number, since it is smaller than the sum of its proper divisors (230519492).

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

226096768 is an equidigital number, since it uses as much as digits as its factorization.

226096768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24284 (or 24272 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The square root of 226096768 is about 15036.5144897346. The cubic root of 226096768 is about 609.2068595338.

The spelling of 226096768 in words is "two hundred twenty-six million, ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 73 128 146 292 584 1168 2336 4672 9344 24197 48394 96788 193576 387152 774304 1548608 1766381 3097216 3532762 7065524 14131048 28262096 56524192 113048384 226096768