Base | Representation |
---|---|
bin | 101100100000… |
… | …0101100100000 |
3 | 1121220110202210 |
4 | 1121000230200 |
5 | 21433134124 |
6 | 2152042120 |
7 | 402222114 |
oct | 131005440 |
9 | 47813683 |
10 | 23333664 |
11 | 12197a22 |
12 | 7993340 |
13 | 4aac903 |
14 | 3155744 |
15 | 20ada29 |
hex | 1640b20 |
23333664 has 48 divisors (see below), whose sum is σ = 61961760. Its totient is φ = 7687680.
The previous prime is 23333663. The next prime is 23333671. The reversal of 23333664 is 46633332.
It is a tau number, because it is divible by the number of its divisors (48).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (23333663) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7179 + ... + 9909.
It is an arithmetic number, because the mean of its divisors is an integer number (1290870).
Almost surely, 223333664 is an apocalyptic number.
23333664 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 23333664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30980880).
23333664 is an abundant number, since it is smaller than the sum of its proper divisors (38628096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23333664 is a wasteful number, since it uses less digits than its factorization.
23333664 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2833 (or 2825 counting only the distinct ones).
The product of its digits is 23328, while the sum is 30.
The square root of 23333664 is about 4830.4931425270. The cubic root of 23333664 is about 285.7553125847.
Adding to 23333664 its reverse (46633332), we get a palindrome (69966996).
The spelling of 23333664 in words is "twenty-three million, three hundred thirty-three thousand, six hundred sixty-four".
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