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228315712 = 26171731213
BaseRepresentation
bin11011001101111…
…01001001000000
3120220121122021111
431212331021000
5431422100322
634353333104
75441436322
oct1546751100
9526548244
10228315712
11107972a79
1264567194
13383bc771
1422473612
151509e177
hexd9bd240

228315712 has 56 divisors (see below), whose sum is σ = 482885496. Its totient is φ = 106733568.

The previous prime is 228315697. The next prime is 228315721. The reversal of 228315712 is 217513822.

It can be written as a sum of positive squares in 4 ways, for example, as 50466816 + 177848896 = 7104^2 + 13336^2 .

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 7 ways as a sum of consecutive naturals, for example, 187618 + ... + 188830.

Almost surely, 2228315712 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 228315712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241442748).

228315712 is an abundant number, since it is smaller than the sum of its proper divisors (254569784).

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

228315712 is a wasteful number, since it uses less digits than its factorization.

228315712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1405 counting only the distinct ones).

The product of its digits is 6720, while the sum is 31.

The square root of 228315712 is about 15110.1195230216. The cubic root of 228315712 is about 611.1933211079.

The spelling of 228315712 in words is "two hundred twenty-eight million, three hundred fifteen thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 173 272 346 544 692 1088 1213 1384 2426 2768 2941 4852 5536 5882 9704 11072 11764 19408 20621 23528 38816 41242 47056 77632 82484 94112 164968 188224 209849 329936 419698 659872 839396 1319744 1678792 3357584 3567433 6715168 7134866 13430336 14269732 28539464 57078928 114157856 228315712