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230975248896 = 293374158217
BaseRepresentation
bin1101011100011100110…
…0101001101000000000
3211002012001200100212000
43113013030221220000
512241014130431041
6254035241104000
722454532136050
oct3270714515000
9732161610760
10230975248896
1189a57563157
1238921188000
1318a1c766612
14b271c73560
15601c9e0bb6
hex35c7329a00

230975248896 has 320 divisors, whose sum is σ = 800446268160. Its totient is φ = 64382238720.

The previous prime is 230975248871. The next prime is 230975248897. The reversal of 230975248896 is 698842579032.

230975248896 is a `hidden beast` number, since 2 + 309 + 7 + 5 + 248 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (230975248897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3938380 + ... + 3996596.

It is an arithmetic number, because the mean of its divisors is an integer number (2501394588).

Almost surely, 2230975248896 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 230975248896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400223134080).

230975248896 is an abundant number, since it is smaller than the sum of its proper divisors (569471019264).

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

230975248896 is an equidigital number, since it uses as much as digits as its factorization.

230975248896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58292 (or 58270 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 230975248896 in words is "two hundred thirty billion, nine hundred seventy-five million, two hundred forty-eight thousand, eight hundred ninety-six".