Base | Representation |
---|---|
bin | 100100011100111… |
… | …1010110000000000 |
3 | 10011020120001221101 |
4 | 1020321322300000 |
5 | 10001111024100 |
6 | 321212104144 |
7 | 42211352554 |
oct | 11071726000 |
9 | 3136501841 |
10 | 1223142400 |
11 | 578482a97 |
12 | 2a1765054 |
13 | 166537ccc |
14 | b8635864 |
15 | 725ac86a |
hex | 48e7ac00 |
1223142400 has 66 divisors (see below), whose sum is σ = 3031975460. Its totient is φ = 489246720.
The previous prime is 1223142379. The next prime is 1223142409. The reversal of 1223142400 is 42413221.
It is not an unprimeable number, because it can be changed into a prime (1223142409) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1711 + ... + 49489.
Almost surely, 21223142400 is an apocalyptic number.
1223142400 is a gapful number since it is divisible by the number (10) 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 1223142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515987730).
1223142400 is an abundant number, since it is smaller than the sum of its proper divisors (1808833060).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1223142400 is an equidigital number, since it uses as much as digits as its factorization.
1223142400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 47809 (or 47786 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 19.
The square root of 1223142400 is about 34973.4527892229. The cubic root of 1223142400 is about 1069.4463610368.
Adding to 1223142400 its reverse (42413221), we get a palindrome (1265555621).
The spelling of 1223142400 in words is "one billion, two hundred twenty-three million, one hundred forty-two thousand, four hundred".
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