| Base | Representation |
|---|---|
| bin | 10101101000000001… |
| … | …011001011001100000 |
| 3 | 2012221020120220021200 |
| 4 | 111220001121121200 |
| 5 | 340023312024440 |
| 6 | 14400033521200 |
| 7 | 1451262011364 |
| oct | 255001313140 |
| 9 | 65836526250 |
| 10 | 23220033120 |
| 11 | 9936115619 |
| 12 | 4600413200 |
| 13 | 226083b98b |
| 14 | 11a3c072a4 |
| 15 | 90d7c4c30 |
| hex | 568059660 |
23220033120 has 144 divisors (see below), whose sum is σ = 80354750112. Its totient is φ = 6104770560.
The previous prime is 23220033119. The next prime is 23220033127. The reversal of 23220033120 is 2133002232.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 23220033093 and 23220033102.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23220033127) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11317 + ... + 215796.
It is an arithmetic number, because the mean of its divisors is an integer number (558019098).
Almost surely, 223220033120 is an apocalyptic number.
23220033120 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 23220033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40177375056).
23220033120 is an abundant number, since it is smaller than the sum of its proper divisors (57134716992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23220033120 is a wasteful number, since it uses less digits than its factorization.
23220033120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 227205 (or 227194 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
Adding to 23220033120 its reverse (2133002232), we get a palindrome (25353035352).
The spelling of 23220033120 in words is "twenty-three billion, two hundred twenty million, thirty-three thousand, one hundred twenty".
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