Search a number
-
+
226346512 = 24712715913
BaseRepresentation
bin11010111110111…
…00011000010000
3120202220121001011
431133130120100
5430421042022
634243220304
75415625240
oct1537343020
9522817034
10226346512
11106848537
1263977694
1337b80362
14220bdb20
1514d10977
hexd7dc610

226346512 has 40 divisors (see below), whose sum is σ = 505174016. Its totient is φ = 96235776.

The previous prime is 226346507. The next prime is 226346521. The reversal of 226346512 is 215643622.

226346512 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 a super-2 number, since 2×2263465122 = 102465486989132288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6268 + ... + 22180.

Almost surely, 2226346512 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 226346512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252587008).

226346512 is an abundant number, since it is smaller than the sum of its proper divisors (278827504).

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

226346512 is a wasteful number, since it uses less digits than its factorization.

226346512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16055 (or 16049 counting only the distinct ones).

The product of its digits is 17280, while the sum is 31.

The square root of 226346512 is about 15044.8167818688. The cubic root of 226346512 is about 609.4310847245.

The spelling of 226346512 in words is "two hundred twenty-six million, three hundred forty-six thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 112 127 254 508 889 1016 1778 2032 3556 7112 14224 15913 31826 63652 111391 127304 222782 254608 445564 891128 1782256 2020951 4041902 8083804 14146657 16167608 28293314 32335216 56586628 113173256 226346512