Base | Representation |
---|---|
bin | 1000100010011001000000 |
3 | 11012200222111 |
4 | 20202121000 |
5 | 1033104031 |
6 | 115545104 |
7 | 25010554 |
oct | 10423100 |
9 | 4180874 |
10 | 2238016 |
11 | 1299500 |
12 | 8bb194 |
13 | 604891 |
14 | 423864 |
15 | 2e31b1 |
hex | 222640 |
2238016 has 63 divisors (see below), whose sum is σ = 5185537. Its totient is φ = 957440.
The previous prime is 2238013. The next prime is 2238023. The reversal of 2238016 is 6108322.
The square root of 2238016 is 1496.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 1742400 + 495616 = 1320^2 + 704^2 .
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (2238011) by changing a digit.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 131640 + ... + 131656.
22238016 is an apocalyptic number.
2238016 is the 1496-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2238016
2238016 is an abundant number, since it is smaller than the sum of its proper divisors (2947521).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2238016 is a wasteful number, since it uses less digits than its factorization.
2238016 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 68 (or 30 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 22.
The cubic root of 2238016 is about 130.8040112615.
Multiplying 2238016 by its product of nonzero digits (576), we get a square (1289097216 = 359042).
The spelling of 2238016 in words is "two million, two hundred thirty-eight thousand, sixteen".
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