| Base | Representation |
|---|---|
| bin | 10101100111011111… |
| … | …011001101001001000 |
| 3 | 2012220121211010110110 |
| 4 | 111213133121221020 |
| 5 | 340014021334344 |
| 6 | 14355114514320 |
| 7 | 1451123163234 |
| oct | 254737315110 |
| 9 | 65817733413 |
| 10 | 23211121224 |
| 11 | 9931088a15 |
| 12 | 45b94359a0 |
| 13 | 225ba3b475 |
| 14 | 11a29675c4 |
| 15 | 90cb143b9 |
| hex | 5677d9a48 |
23211121224 has 128 divisors (see below), whose sum is σ = 62698665600. Its totient is φ = 7133859840.
The previous prime is 23211121223. The next prime is 23211121249. The reversal of 23211121224 is 42212111232.
It is a happy number.
It is a super-2 number, since 2×232111212242 (a number of 22 digits) contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 23211121224.
It is not an unprimeable number, because it can be changed into a prime (23211121223) 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 31 ways as a sum of consecutive naturals, for example, 6693139 + ... + 6696605.
It is an arithmetic number, because the mean of its divisors is an integer number (489833325).
Almost surely, 223211121224 is an apocalyptic number.
23211121224 is a gapful number since it is divisible by the number (24) 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 23211121224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31349332800).
23211121224 is an abundant number, since it is smaller than the sum of its proper divisors (39487544376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23211121224 is a wasteful number, since it uses less digits than its factorization.
23211121224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3823 (or 3819 counting only the distinct ones).
The product of its digits is 384, while the sum is 21.
Adding to 23211121224 its reverse (42212111232), we get a palindrome (65423232456).
The spelling of 23211121224 in words is "twenty-three billion, two hundred eleven million, one hundred twenty-one thousand, two hundred twenty-four".
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