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230562940608 = 263271121336353
BaseRepresentation
bin1101011010111010011…
…1110100011011000000
3211001010022211221012200
43112232213310123000
512234143103044413
6253530311553200
722441364442060
oct3265647643300
9731108757180
10230562940608
1189865850900
123882708b800
1318985205910
14b2331c73a0
155ee66ea573
hex35ae9f46c0

230562940608 has 504 divisors, whose sum is σ = 894064682784. Its totient is φ = 55278305280.

The previous prime is 230562940561. The next prime is 230562940669. The reversal of 230562940608 is 806049265032.

230562940608 is a `hidden beast` number, since 2 + 30 + 5 + 6 + 2 + 9 + 4 + 0 + 608 = 666.

230562940608 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 (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6324160 + ... + 6360512.

Almost surely, 2230562940608 is an apocalyptic number.

230562940608 is a gapful number since it is divisible by the number (28) 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 230562940608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447032341392).

230562940608 is an abundant number, since it is smaller than the sum of its proper divisors (663501742176).

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

230562940608 is a wasteful number, since it uses less digits than its factorization.

230562940608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36413 (or 36389 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 230562940608 in words is "two hundred thirty billion, five hundred sixty-two million, nine hundred forty thousand, six hundred eight".