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230296823856 = 243211219368483
BaseRepresentation
bin1101011001111011000…
…0101010100000110000
3211000102210002210122200
43112132300222200300
512233121441330411
6253444044103200
722431653463351
oct3263660524060
9730383083580
10230296823856
118973960a400
1238771b34b00
131894203c498
14b209b13d28
155ecd180e56
hex359ec2a830

230296823856 has 180 divisors, whose sum is σ = 712110739704. Its totient is φ = 69424312320.

The previous prime is 230296823849. The next prime is 230296823857. The reversal of 230296823856 is 658328692032.

230296823856 is a `hidden beast` number, since 230 + 29 + 6 + 8 + 2 + 385 + 6 = 666.

It is a super-2 number, since 2×2302968238562 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230296823857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3328591 + ... + 3397073.

Almost surely, 2230296823856 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 230296823856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356055369852).

230296823856 is an abundant number, since it is smaller than the sum of its proper divisors (481813915848).

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

230296823856 is a wasteful number, since it uses less digits than its factorization.

230296823856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68712 (or 68692 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 230296823856 in words is "two hundred thirty billion, two hundred ninety-six million, eight hundred twenty-three thousand, eight hundred fifty-six".