Search a number
-
+
226268256 = 2533176031
BaseRepresentation
bin11010111110010…
…01010001100000
3120202202121200210
431133021101200
5430411041011
634241414120
75415151134
oct1537112140
9522677623
10226268256
111067a4765
126393a340
1337b53856
142209d3c4
1514ce76a6
hexd7c9460

226268256 has 48 divisors (see below), whose sum is σ = 613122048. Its totient is φ = 72988800.

The previous prime is 226268239. The next prime is 226268297. The reversal of 226268256 is 652862622.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35040 + ... + 40991.

It is an arithmetic number, because the mean of its divisors is an integer number (12773376).

Almost surely, 2226268256 is an apocalyptic number.

It is an amenable number.

226268256 is an abundant number, since it is smaller than the sum of its proper divisors (386853792).

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

226268256 is a wasteful number, since it uses less digits than its factorization.

226268256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76075 (or 76067 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 226268256 is about 15042.2157942239. The cubic root of 226268256 is about 609.3608426639.

The spelling of 226268256 in words is "two hundred twenty-six million, two hundred sixty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 76031 152062 228093 304124 456186 608248 912372 1216496 1824744 2356961 2432992 3649488 4713922 7070883 7298976 9427844 14141766 18855688 28283532 37711376 56567064 75422752 113134128 226268256