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228234845088 = 253229792811231
BaseRepresentation
bin1101010010001111011…
…0110101101110100000
3210211010002010102112200
43110203312311232200
512214411110020323
6252503304453200
722326605113425
oct3244366655640
9724102112480
10228234845088
1188880690218
123829747a200
13186a3aa45c3
14b091d23d4c
155e0c129443
hex3523db5ba0

228234845088 has 288 divisors, whose sum is σ = 682896614400. Its totient is φ = 72208281600.

The previous prime is 228234845087. The next prime is 228234845089. The reversal of 228234845088 is 880548432822.

228234845088 is a `hidden beast` number, since 2 + 2 + 82 + 3 + 484 + 5 + 0 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (228234845087) and next prime (228234845089).

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

It is a super-2 number, since 2×2282348450882 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (228234845081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185405433 + ... + 185406663.

It is an arithmetic number, because the mean of its divisors is an integer number (2371168800).

Almost surely, 2228234845088 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 228234845088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341448307200).

228234845088 is an abundant number, since it is smaller than the sum of its proper divisors (454661769312).

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

228234845088 is a wasteful number, since it uses less digits than its factorization.

228234845088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 54.

The spelling of 228234845088 in words is "two hundred twenty-eight billion, two hundred thirty-four million, eight hundred forty-five thousand, eighty-eight".