Base | Representation |
---|---|
bin | 101010101110… |
… | …0110000010000 |
3 | 1120011001001020 |
4 | 1111130300100 |
5 | 21213300031 |
6 | 2120035440 |
7 | 361253112 |
oct | 125346020 |
9 | 46131036 |
10 | 22400016 |
11 | 1170a511 |
12 | 7602b80 |
13 | 4843962 |
14 | 2d913b2 |
15 | 1e77096 |
hex | 155cc10 |
22400016 has 80 divisors (see below), whose sum is σ = 62121024. Its totient is φ = 6930432.
The previous prime is 22400009. The next prime is 22400023. The reversal of 22400016 is 61000422.
It is an interprime number because it is at equal distance from previous prime (22400009) and next prime (22400023).
It is a junction number, because it is equal to n+sod(n) for n = 22399968 and 22400004.
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, 79011 + ... + 79293.
Almost surely, 222400016 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 22400016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31060512).
22400016 is an abundant number, since it is smaller than the sum of its proper divisors (39721008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22400016 is a wasteful number, since it uses less digits than its factorization.
22400016 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 408 (or 402 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 15.
The square root of 22400016 is about 4732.8655167879. The cubic root of 22400016 is about 281.8920163997.
Adding to 22400016 its reverse (61000422), we get a palindrome (83400438).
The spelling of 22400016 in words is "twenty-two million, four hundred thousand, sixteen".
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