Base | Representation |
---|---|
bin | 101010110000… |
… | …1001100100000 |
3 | 1120011222000000 |
4 | 1111201030200 |
5 | 21214340313 |
6 | 2120300000 |
7 | 361360131 |
oct | 125411440 |
9 | 46158000 |
10 | 22418208 |
11 | 1172214a |
12 | 7611600 |
13 | 484c017 |
14 | 2d97c88 |
15 | 1e7c673 |
hex | 1561320 |
22418208 has 126 divisors (see below), whose sum is σ = 68376987. Its totient is φ = 7231680.
The previous prime is 22418203. The next prime is 22418213. The reversal of 22418208 is 80281422.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is an interprime number because it is at equal distance from previous prime (22418203) and next prime (22418213).
It can be written as a sum of positive squares in only one way, i.e., 11209104 + 11209104 = 3348^2 + 3348^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=3348.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (22418203) by changing a digit.
It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 723153 + ... + 723183.
Almost surely, 222418208 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 22418208
22418208 is an abundant number, since it is smaller than the sum of its proper divisors (45958779).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22418208 is an frugal number, since it uses more digits than its factorization.
22418208 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 90 (or 36 counting only the distinct ones).
The product of its (nonzero) digits is 2048, while the sum is 27.
The square root of 22418208 is about 4734.7870068251. The cubic root of 22418208 is about 281.9683078916.
Multiplying 22418208 by its product of nonzero digits (2048), we get a square (45912489984 = 2142722).
The spelling of 22418208 in words is "twenty-two million, four hundred eighteen thousand, two hundred eight".
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