Base | Representation |
---|---|
bin | 101100010001… |
… | …1001100010100 |
3 | 1121200100000002 |
4 | 1120203030110 |
5 | 21420302240 |
6 | 2145310432 |
7 | 401206601 |
oct | 130431424 |
9 | 47610002 |
10 | 23212820 |
11 | 12115154 |
12 | 7935418 |
13 | 4a698c7 |
14 | 31236a8 |
15 | 2087d15 |
hex | 1623314 |
23212820 has 48 divisors (see below), whose sum is σ = 52436160. Its totient is φ = 8600064.
The previous prime is 23212771. The next prime is 23212823. The reversal of 23212820 is 2821232.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 23212792 and 23212801.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23212823) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22271 + ... + 23289.
It is an arithmetic number, because the mean of its divisors is an integer number (1092420).
Almost surely, 223212820 is an apocalyptic number.
23212820 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 23212820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26218080).
23212820 is an abundant number, since it is smaller than the sum of its proper divisors (29223340).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23212820 is a wasteful number, since it uses less digits than its factorization.
23212820 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1112 (or 1110 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 20.
The square root of 23212820 is about 4817.9684515364. The cubic root of 23212820 is about 285.2611538731.
The spelling of 23212820 in words is "twenty-three million, two hundred twelve thousand, eight hundred twenty".
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