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228663336 = 233114320143
BaseRepresentation
bin11011010000100…
…10000000101000
3120221021022010110
431220102000220
5432014211321
634405014320
75444414646
oct1550220050
9527238113
10228663336
11108090170
12646b43a0
13384b1a65
1422524196
151511c176
hexda12028

228663336 has 64 divisors (see below), whose sum is σ = 638161920. Its totient is φ = 67677120.

The previous prime is 228663329. The next prime is 228663341. The reversal of 228663336 is 633366822.

228663336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 228663294 and 228663303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1281 + ... + 21423.

It is an arithmetic number, because the mean of its divisors is an integer number (9971280).

Almost surely, 2228663336 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 228663336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319080960).

228663336 is an abundant number, since it is smaller than the sum of its proper divisors (409498584).

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

228663336 is a wasteful number, since it uses less digits than its factorization.

228663336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20206 (or 20202 counting only the distinct ones).

The product of its digits is 186624, while the sum is 39.

The square root of 228663336 is about 15121.6181673788. The cubic root of 228663336 is about 611.5033563160.

The spelling of 228663336 in words is "two hundred twenty-eight million, six hundred sixty-three thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 258 264 344 473 516 946 1032 1419 1892 2838 3784 5676 11352 20143 40286 60429 80572 120858 161144 221573 241716 443146 483432 664719 866149 886292 1329438 1732298 1772584 2598447 2658876 3464596 5196894 5317752 6929192 9527639 10393788 19055278 20787576 28582917 38110556 57165834 76221112 114331668 228663336