Base | Representation |
---|---|
bin | 10101100110111010… |
… | …000011101111101000 |
3 | 2012212221101210110000 |
4 | 111212322003233220 |
5 | 340004020112300 |
6 | 14354125023000 |
7 | 1450644032634 |
oct | 254672035750 |
9 | 65787353400 |
10 | 23201332200 |
11 | 9926602312 |
12 | 45b60b4a60 |
13 | 22599c1947 |
14 | 11a1539dc4 |
15 | 90bd2dc00 |
hex | 566e83be8 |
23201332200 has 120 divisors (see below), whose sum is σ = 80581720230. Its totient is φ = 6187017600.
The previous prime is 23201332157. The next prime is 23201332207. The reversal of 23201332200 is 223310232.
It is a happy number.
It can be written as a sum of positive squares in 3 ways, for example, as 13567124484 + 9634207716 = 116478^2 + 98154^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (23201332207) 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 29 ways as a sum of consecutive naturals, for example, 699891 + ... + 732290.
Almost surely, 223201332200 is an apocalyptic number.
23201332200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
23201332200 is an abundant number, since it is smaller than the sum of its proper divisors (57380388030).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23201332200 is a wasteful number, since it uses less digits than its factorization.
23201332200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1432209 (or 1432191 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
Adding to 23201332200 its reverse (223310232), we get a palindrome (23424642432).
The spelling of 23201332200 in words is "twenty-three billion, two hundred one million, three hundred thirty-two thousand, two hundred".
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