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226743328 = 2575371269
BaseRepresentation
bin11011000001111…
…01010000100000
3120210122202101001
431200331100200
5431021241303
634255521344
75422200160
oct1540752040
9523582331
10226743328
11106a99689
1263b29254
1337c8bb66
14221845a0
1514d8d31d
hexd83d420

226743328 has 96 divisors (see below), whose sum is σ = 529079040. Its totient is φ = 93649920.

The previous prime is 226743299. The next prime is 226743347. The reversal of 226743328 is 823347622.

226743328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 842778 + ... + 843046.

It is an arithmetic number, because the mean of its divisors is an integer number (5511240).

Almost surely, 2226743328 is an apocalyptic number.

226743328 is a gapful number since it is divisible by the number (28) 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 226743328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264539520).

226743328 is an abundant number, since it is smaller than the sum of its proper divisors (302335712).

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

226743328 is a wasteful number, since it uses less digits than its factorization.

226743328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 402 counting only the distinct ones).

The product of its digits is 96768, while the sum is 37.

The square root of 226743328 is about 15057.9988046221. The cubic root of 226743328 is about 609.7870151359.

The spelling of 226743328 in words is "two hundred twenty-six million, seven hundred forty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 71 106 112 142 212 224 269 284 371 424 497 538 568 742 848 994 1076 1136 1484 1696 1883 1988 2152 2272 2968 3763 3766 3976 4304 5936 7526 7532 7952 8608 11872 14257 15052 15064 15904 19099 26341 28514 30104 30128 38198 52682 57028 60208 60256 76396 99799 105364 114056 120416 133693 152792 199598 210728 228112 267386 305584 399196 421456 456224 534772 611168 798392 842912 1012247 1069544 1596784 2024494 2139088 3193568 4048988 4278176 7085729 8097976 14171458 16195952 28342916 32391904 56685832 113371664 226743328