Base | Representation |
---|---|
bin | 1000101011100100… |
… | …0101011000001000 |
3 | 20000101201102221221 |
4 | 2022321011120020 |
5 | 14233014020130 |
6 | 1023120411424 |
7 | 111513354301 |
oct | 21271053010 |
9 | 6011642857 |
10 | 2330220040 |
11 | a96391895 |
12 | 550476b74 |
13 | 2b19c6335 |
14 | 1816977a8 |
15 | d989087a |
hex | 8ae45608 |
2330220040 has 128 divisors (see below), whose sum is σ = 5712768000. Its totient is φ = 852415488.
The previous prime is 2330220023. The next prime is 2330220041. The reversal of 2330220040 is 400220332.
It is a junction number, because it is equal to n+sod(n) for n = 2330219996 and 2330220023.
It is not an unprimeable number, because it can be changed into a prime (2330220041) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4864521 + ... + 4864999.
It is an arithmetic number, because the mean of its divisors is an integer number (44631000).
Almost surely, 22330220040 is an apocalyptic number.
2330220040 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 2330220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856384000).
2330220040 is an abundant number, since it is smaller than the sum of its proper divisors (3382547960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2330220040 is a wasteful number, since it uses less digits than its factorization.
2330220040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 719 (or 715 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 16.
The square root of 2330220040 is about 48272.3527497884. The cubic root of 2330220040 is about 1325.7622366324.
Adding to 2330220040 its reverse (400220332), we get a palindrome (2730440372).
It can be divided in two parts, 23302 and 20040, that multiplied together give a triangular number (466972080 = T30560).
The spelling of 2330220040 in words is "two billion, three hundred thirty million, two hundred twenty thousand, forty".
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