Base | Representation |
---|---|
bin | 101010101110… |
… | …0110110011100 |
3 | 1120011001120220 |
4 | 1111130312130 |
5 | 21213303122 |
6 | 2120041340 |
7 | 361254216 |
oct | 125346634 |
9 | 46131526 |
10 | 22400412 |
11 | 1170a841 |
12 | 7603250 |
13 | 4843ba8 |
14 | 2d915b6 |
15 | 1e7725c |
hex | 155cd9c |
22400412 has 48 divisors (see below), whose sum is σ = 55036800. Its totient is φ = 7080640.
The previous prime is 22400369. The next prime is 22400419. The reversal of 22400412 is 21400422.
It is a junction number, because it is equal to n+sod(n) for n = 22400391 and 22400400.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22400419) 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, 19987 + ... + 21077.
It is an arithmetic number, because the mean of its divisors is an integer number (1146600).
Almost surely, 222400412 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22400412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27518400).
22400412 is an abundant number, since it is smaller than the sum of its proper divisors (32636388).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22400412 is a wasteful number, since it uses less digits than its factorization.
22400412 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1186 (or 1184 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 15.
The square root of 22400412 is about 4732.9073517237. The cubic root of 22400412 is about 281.8936775381.
Adding to 22400412 its reverse (21400422), we get a palindrome (43800834).
The spelling of 22400412 in words is "twenty-two million, four hundred thousand, four hundred twelve".
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