Base | Representation |
---|---|
bin | 10101011100010001… |
… | …110111010001100000 |
3 | 2012102111212202110222 |
4 | 111130101313101200 |
5 | 334122343220300 |
6 | 14324315142212 |
7 | 1443350316422 |
oct | 253421672140 |
9 | 65374782428 |
10 | 23023023200 |
11 | 9844995101 |
12 | 4566444968 |
13 | 222ba90668 |
14 | 11859a2812 |
15 | 8eb35b785 |
hex | 55c477460 |
23023023200 has 72 divisors (see below), whose sum is σ = 56251399680. Its totient is φ = 9201600000.
The previous prime is 23023023181. The next prime is 23023023209. The reversal of 23023023200 is 232032032.
It is a super-3 number, since 3×230230232003 (a number of 32 digits) contains 333 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23023023209) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1011950 + ... + 1034450.
It is an arithmetic number, because the mean of its divisors is an integer number (781269440).
Almost surely, 223023023200 is an apocalyptic number.
23023023200 is a gapful number since it is divisible by the number (20) 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 23023023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28125699840).
23023023200 is an abundant number, since it is smaller than the sum of its proper divisors (33228376480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23023023200 is a wasteful number, since it uses less digits than its factorization.
23023023200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 23800 (or 23787 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 17.
Adding to 23023023200 its reverse (232032032), we get a palindrome (23255055232).
The spelling of 23023023200 in words is "twenty-three billion, twenty-three million, twenty-three thousand, two hundred".
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