Base | Representation |
---|---|
bin | 10101100010110001… |
… | …101010100110100000 |
3 | 2012201002222112101000 |
4 | 111202301222212200 |
5 | 334333244220300 |
6 | 14343211312000 |
7 | 1446142644606 |
oct | 254261524640 |
9 | 65632875330 |
10 | 23132023200 |
11 | 98a0473450 |
12 | 4596a4b600 |
13 | 22485357c0 |
14 | 1196257876 |
15 | 905bdcc00 |
hex | 562c6a9a0 |
23132023200 has 576 divisors, whose sum is σ = 98299958400. Its totient is φ = 5175705600.
The previous prime is 23132023183. The next prime is 23132023219. The reversal of 23132023200 is 232023132.
It is a happy number.
23132023200 is a `hidden beast` number, since 23 + 1 + 320 + 2 + 320 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3085056 + ... + 3092544.
It is an arithmetic number, because the mean of its divisors is an integer number (170659650).
Almost surely, 223132023200 is an apocalyptic number.
23132023200 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 23132023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49149979200).
23132023200 is an abundant number, since it is smaller than the sum of its proper divisors (75167935200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23132023200 is a wasteful number, since it uses less digits than its factorization.
23132023200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7542 (or 7523 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
Adding to 23132023200 its reverse (232023132), we get a palindrome (23364046332).
The spelling of 23132023200 in words is "twenty-three billion, one hundred thirty-two million, twenty-three thousand, two hundred".
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