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226328076 = 2232131925453
BaseRepresentation
bin11010111110101…
…11111000001100
3120202212122202100
431133113320030
5430414444301
634242555100
75415520422
oct1537277014
9522778670
10226328076
111068356a7
1263968a90
1337b74b50
14220b7112
1514d0a286
hexd7d7e0c

226328076 has 72 divisors (see below), whose sum is σ = 648567920. Its totient is φ = 65971584.

The previous prime is 226328059. The next prime is 226328087. The reversal of 226328076 is 670823622.

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 226328076.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3835 + ... + 21618.

Almost surely, 2226328076 is an apocalyptic number.

226328076 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226328076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324283960).

226328076 is an abundant number, since it is smaller than the sum of its proper divisors (422239844).

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

226328076 is a wasteful number, since it uses less digits than its factorization.

226328076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25495 (or 25490 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 226328076 is about 15044.2040666830. The cubic root of 226328076 is about 609.4145381525.

The spelling of 226328076 in words is "two hundred twenty-six million, three hundred twenty-eight thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 988 1482 2223 2964 4446 8892 25453 50906 76359 101812 152718 229077 305436 330889 458154 483607 661778 916308 967214 992667 1323556 1450821 1934428 1985334 2901642 2978001 3970668 4352463 5803284 5956002 6286891 8704926 11912004 12573782 17409852 18860673 25147564 37721346 56582019 75442692 113164038 226328076