Base | Representation |
---|---|
bin | 101100010001… |
… | …1010001000000 |
3 | 1121200100102012 |
4 | 1120203101000 |
5 | 21420304440 |
6 | 2145312052 |
7 | 401210510 |
oct | 130432100 |
9 | 47610365 |
10 | 23213120 |
11 | 121153a7 |
12 | 7935628 |
13 | 4a69a98 |
14 | 3123840 |
15 | 2087e65 |
hex | 1623440 |
23213120 has 112 divisors (see below), whose sum is σ = 64910208. Its totient is φ = 7741440.
The previous prime is 23213087. The next prime is 23213131. The reversal of 23213120 is 2131232.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (112).
It is a Harshad number since it is a multiple of its sum of digits (14).
It is a junction number, because it is equal to n+sod(n) for n = 23213095 and 23213104.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96200 + ... + 96440.
Almost surely, 223213120 is an apocalyptic number.
23213120 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 23213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32455104).
23213120 is an abundant number, since it is smaller than the sum of its proper divisors (41697088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23213120 is a wasteful number, since it uses less digits than its factorization.
23213120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 308 (or 298 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 14.
The square root of 23213120 is about 4817.9995848900. Note that the first 3 decimals coincide. The cubic root of 23213120 is about 285.2623827627.
Adding to 23213120 its reverse (2131232), we get a palindrome (25344352).
The spelling of 23213120 in words is "twenty-three million, two hundred thirteen thousand, one hundred twenty".
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