Base | Representation |
---|---|
bin | 101100010011… |
… | …0010010110000 |
3 | 1121200222102110 |
4 | 1120212102300 |
5 | 21421204040 |
6 | 2145445320 |
7 | 401261613 |
oct | 130462260 |
9 | 47628373 |
10 | 23225520 |
11 | 1212374a |
12 | 7940840 |
13 | 4a72616 |
14 | 312817a |
15 | 208b980 |
hex | 16264b0 |
23225520 has 160 divisors (see below), whose sum is σ = 77137920. Its totient is φ = 5770240.
The previous prime is 23225509. The next prime is 23225533. The reversal of 23225520 is 2552232.
23225520 is a nontrivial binomial coefficient, being equal to C(6816, 2).
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327085 + ... + 327155.
It is an arithmetic number, because the mean of its divisors is an integer number (482112).
Almost surely, 223225520 is an apocalyptic number.
23225520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
23225520 is the 6815-th triangular number and also the 3408-th hexagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23225520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38568960).
23225520 is an abundant number, since it is smaller than the sum of its proper divisors (53912400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23225520 is a wasteful number, since it uses less digits than its factorization.
23225520 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 163 (or 157 counting only the distinct ones).
The product of its (nonzero) digits is 1200, while the sum is 21.
The square root of 23225520 is about 4819.2862542082. The cubic root of 23225520 is about 285.3131676046.
Adding to 23225520 its reverse (2552232), we get a palindrome (25777752).
It can be divided in two parts, 232 and 25520, that added together give a palindrome (25752).
The spelling of 23225520 in words is "twenty-three million, two hundred twenty-five thousand, five hundred twenty".
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