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228133304 = 237191491439
BaseRepresentation
bin11011001100100…
…00100110111000
3120220021101001122
431212100212320
5431400231204
634345404412
75440046450
oct1546204670
9526241048
10228133304
11107858a23
1264499708
1338357729
1422426d60
15150650be
hexd9909b8

228133304 has 64 divisors (see below), whose sum is σ = 518400000. Its totient is φ = 91939968.

The previous prime is 228133303. The next prime is 228133313. The reversal of 228133304 is 403331822.

228133304 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 not an unprimeable number, because it can be changed into a prime (228133303) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 157817 + ... + 159255.

It is an arithmetic number, because the mean of its divisors is an integer number (8100000).

Almost surely, 2228133304 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 228133304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259200000).

228133304 is an abundant number, since it is smaller than the sum of its proper divisors (290266696).

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

228133304 is a wasteful number, since it uses less digits than its factorization.

228133304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 228133304 is about 15104.0823620636. The cubic root of 228133304 is about 611.0305110915.

The spelling of 228133304 in words is "two hundred twenty-eight million, one hundred thirty-three thousand, three hundred four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 149 152 266 298 532 596 1043 1064 1192 1439 2086 2831 2878 4172 5662 5756 8344 10073 11324 11512 19817 20146 22648 27341 39634 40292 54682 79268 80584 109364 158536 191387 214411 218728 382774 428822 765548 857644 1500877 1531096 1715288 3001754 4073809 6003508 8147618 12007016 16295236 28516663 32590472 57033326 114066652 228133304