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228816851328 = 273213171795021
BaseRepresentation
bin1101010100011010001…
…1000001000110000000
3210212121122021102000100
43111012203001012000
512222104103220303
6253041135122400
722350203100552
oct3250643010600
9725548242010
10228816851328
118904a16910a
123841a373400
131876753ccb0
14b1093454d2
155e432908a3
hex35468c1180

228816851328 has 384 divisors, whose sum is σ = 755150104800. Its totient is φ = 65880391680.

The previous prime is 228816851323. The next prime is 228816851489. The reversal of 228816851328 is 823158618822.

228816851328 is a `hidden beast` number, since 2 + 28 + 81 + 6 + 8 + 513 + 28 = 666.

228816851328 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 (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228816851323) 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 47 ways as a sum of consecutive naturals, for example, 45569458 + ... + 45574478.

Almost surely, 2228816851328 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 228816851328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377575052400).

228816851328 is an abundant number, since it is smaller than the sum of its proper divisors (526333253472).

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

228816851328 is a wasteful number, since it uses less digits than its factorization.

228816851328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5250 (or 5235 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The spelling of 228816851328 in words is "two hundred twenty-eight billion, eight hundred sixteen million, eight hundred fifty-one thousand, three hundred twenty-eight".