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228746112 = 2737212157
BaseRepresentation
bin11011010001001…
…10001110000000
3120221102111200020
431220212032000
5432024333422
634410453440
75445211200
oct1550461600
9527374606
10228746112
11108137381
1264734280
133851063a
1422546400
151513695c
hexda26380

228746112 has 96 divisors (see below), whose sum is σ = 706866120. Its totient is φ = 65350656.

The previous prime is 228746087. The next prime is 228746123. The reversal of 228746112 is 211647822.

228746112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

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 11 ways as a sum of consecutive naturals, for example, 12738 + ... + 24894.

Almost surely, 2228746112 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 228746112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353433060).

228746112 is an abundant number, since it is smaller than the sum of its proper divisors (478120008).

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

228746112 is a wasteful number, since it uses less digits than its factorization.

228746112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12188 (or 12169 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 228746112 is about 15124.3549283928. The cubic root of 228746112 is about 611.5771353719.

The spelling of 228746112 in words is "two hundred twenty-eight million, seven hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2688 3136 4704 6272 9408 12157 18816 24314 36471 48628 72942 85099 97256 145884 170198 194512 255297 291768 340396 389024 510594 583536 595693 680792 778048 1021188 1167072 1191386 1361584 1556096 1787079 2042376 2334144 2382772 2723168 3574158 4084752 4668288 4765544 5446336 7148316 8169504 9531088 10892672 14296632 16339008 19062176 28593264 32678016 38124352 57186528 76248704 114373056 228746112