Base | Representation |
---|---|
bin | 1101100101110110000… |
… | …0011111100011010000 |
3 | 211022200210212021012000 |
4 | 3121131200133203100 |
5 | 12311200220023122 |
6 | 255133403434000 |
7 | 22604163014043 |
oct | 3313540374320 |
9 | 738623767160 |
10 | 233497032912 |
11 | 90030a95880 |
12 | 39305825900 |
13 | 19032052200 |
14 | b430b54c5a |
15 | 61190c10ac |
hex | 365d81f8d0 |
233497032912 has 960 divisors, whose sum is σ = 834426593280. Its totient is φ = 61892812800.
The previous prime is 233497032889. The next prime is 233497032913. The reversal of 233497032912 is 219230794332.
233497032912 is a `hidden beast` number, since 233 + 4 + 97 + 0 + 329 + 1 + 2 = 666.
233497032912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2334970329122 (a number of 24 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (233497032913) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2066345368 + ... + 2066345480.
It is an arithmetic number, because the mean of its divisors is an integer number (869194368).
Almost surely, 2233497032912 is an apocalyptic number.
233497032912 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 233497032912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417213296640).
233497032912 is an abundant number, since it is smaller than the sum of its proper divisors (600929560368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233497032912 is a wasteful number, since it uses less digits than its factorization.
233497032912 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 281 (or 256 counting only the distinct ones).
The product of its (nonzero) digits is 489888, while the sum is 45.
The spelling of 233497032912 in words is "two hundred thirty-three billion, four hundred ninety-seven million, thirty-two thousand, nine hundred twelve".
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