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228091118112 = 2532111312743609
BaseRepresentation
bin1101010001101101001…
…0100100001000100000
3210210202001200100012100
43110123102210020200
512214112311234422
6252441132130400
722323211341354
oct3243322441040
9723661610170
10228091118112
1188807542aa0
1238257306a00
1318680090a60
14b07abcd464
155dee6d87ac
hex351b4a4220

228091118112 has 288 divisors, whose sum is σ = 768049551360. Its totient is φ = 63297884160.

The previous prime is 228091118069. The next prime is 228091118131. The reversal of 228091118112 is 211811190822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5208564 + ... + 5252172.

It is an arithmetic number, because the mean of its divisors is an integer number (2666838720).

Almost surely, 2228091118112 is an apocalyptic number.

228091118112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228091118112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384024775680).

228091118112 is an abundant number, since it is smaller than the sum of its proper divisors (539958433248).

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

228091118112 is a wasteful number, since it uses less digits than its factorization.

228091118112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43776 (or 43765 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 36.

The spelling of 228091118112 in words is "two hundred twenty-eight billion, ninety-one million, one hundred eighteen thousand, one hundred twelve".