Search a number
-
+
228065656 = 23713523599
BaseRepresentation
bin11011001100000…
…00000101111000
3120220010221021011
431212000011320
5431341100111
634344123304
75436345310
oct1546000570
9526127234
10228065656
11107812115
1264466534
13383329c0
142240a440
1515050021
hexd980178

228065656 has 64 divisors (see below), whose sum is σ = 528192000. Its totient is φ = 89900928.

The previous prime is 228065639. The next prime is 228065689. The reversal of 228065656 is 656560822.

It is a happy number.

228065656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 380445 + ... + 381043.

It is an arithmetic number, because the mean of its divisors is an integer number (8253000).

Almost surely, 2228065656 is an apocalyptic number.

228065656 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 228065656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264096000).

228065656 is an abundant number, since it is smaller than the sum of its proper divisors (300126344).

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

228065656 is a wasteful number, since it uses less digits than its factorization.

228065656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The square root of 228065656 is about 15101.8428014597. The cubic root of 228065656 is about 610.9701091575.

The spelling of 228065656 in words is "two hundred twenty-eight million, sixty-five thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 523 599 728 1046 1198 2092 2396 3661 4184 4193 4792 6799 7322 7787 8386 13598 14644 15574 16772 27196 29288 31148 33544 47593 54392 54509 62296 95186 109018 190372 218036 313277 380744 436072 626554 1253108 2192939 2506216 4072601 4385878 8145202 8771756 16290404 17543512 28508207 32580808 57016414 114032828 228065656