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228772656 = 24327733109
BaseRepresentation
bin11011010001011…
…00101100110000
3120221110212002100
431220230230300
5432031211111
634411220400
75445351450
oct1550545460
9527425070
10228772656
11108155312
1264747700
133851c748
1422551d60
151513e756
hexda2cb30

228772656 has 120 divisors (see below), whose sum is σ = 741971360. Its totient is φ = 64447488.

The previous prime is 228772637. The next prime is 228772667. The reversal of 228772656 is 656277822.

228772656 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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72030 + ... + 75138.

Almost surely, 2228772656 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 228772656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370985680).

228772656 is an abundant number, since it is smaller than the sum of its proper divisors (513198704).

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

228772656 is a wasteful number, since it uses less digits than its factorization.

228772656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3203 (or 3194 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 228772656 is about 15125.2324279662. The cubic root of 228772656 is about 611.6007905289.

The spelling of 228772656 in words is "two hundred twenty-eight million, seven hundred seventy-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 73 84 112 126 144 146 168 219 252 292 336 438 504 511 584 657 876 1008 1022 1168 1314 1533 1752 2044 2628 3066 3109 3504 4088 4599 5256 6132 6218 8176 9198 9327 10512 12264 12436 18396 18654 21763 24528 24872 27981 36792 37308 43526 49744 55962 65289 73584 74616 87052 111924 130578 149232 174104 195867 223848 226957 261156 348208 391734 447696 453914 522312 680871 783468 907828 1044624 1361742 1566936 1588699 1815656 2042613 2723484 3133872 3177398 3631312 4085226 4766097 5446968 6354796 8170452 9532194 10893936 12709592 14298291 16340904 19064388 25419184 28596582 32681808 38128776 57193164 76257552 114386328 228772656