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228016656 = 24327317297
BaseRepresentation
bin11011001011101…
…00001000010000
3120220001110001100
431211310020100
5431333013111
634343104400
75436052410
oct1545641020
9526043040
10228016656
1110778931a
1264442100
13383165ca
14223d6640
1515040756
hexd974210

228016656 has 120 divisors (see below), whose sum is σ = 752920064. Its totient is φ = 63037440.

The previous prime is 228016643. The next prime is 228016661. The reversal of 228016656 is 656610822.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 228016656.

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 23 ways as a sum of consecutive naturals, for example, 27600 + ... + 34896.

Almost surely, 2228016656 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 228016656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376460032).

228016656 is an abundant number, since it is smaller than the sum of its proper divisors (524903408).

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

228016656 is a wasteful number, since it uses less digits than its factorization.

228016656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7349 (or 7340 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 228016656 is about 15100.2203957426. The cubic root of 228016656 is about 610.9263502970.

The spelling of 228016656 in words is "two hundred twenty-eight million, sixteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 48 56 62 63 72 84 93 112 124 126 144 168 186 217 248 252 279 336 372 434 496 504 558 651 744 868 1008 1116 1302 1488 1736 1953 2232 2604 3472 3906 4464 5208 7297 7812 10416 14594 15624 21891 29188 31248 43782 51079 58376 65673 87564 102158 116752 131346 153237 175128 204316 226207 262692 306474 350256 408632 452414 459711 525384 612948 678621 817264 904828 919422 1050768 1225896 1357242 1583449 1809656 1838844 2035863 2451792 2714484 3166898 3619312 3677688 4071726 4750347 5428968 6333796 7355376 8143452 9500694 10857936 12667592 14251041 16286904 19001388 25335184 28502082 32573808 38002776 57004164 76005552 114008328 228016656