Base | Representation |
---|---|
bin | 101010100101… |
… | …1110000100100 |
3 | 1120000111120000 |
4 | 1111023300210 |
5 | 21204033104 |
6 | 2114341300 |
7 | 360543135 |
oct | 125136044 |
9 | 46014500 |
10 | 22330404 |
11 | 11672188 |
12 | 758a830 |
13 | 481b075 |
14 | 2d73c8c |
15 | 1e61639 |
hex | 154bc24 |
22330404 has 60 divisors (see below), whose sum is σ = 59835468. Its totient is φ = 7261920.
The previous prime is 22330397. The next prime is 22330417. The reversal of 22330404 is 40403322.
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 can be written as a sum of positive squares in 2 ways, for example, as 4284900 + 18045504 = 2070^2 + 4248^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 544624 + ... + 544664.
Almost surely, 222330404 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 22330404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29917734).
22330404 is an abundant number, since it is smaller than the sum of its proper divisors (37505064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22330404 is an frugal number, since it uses more digits than its factorization.
22330404 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 139 (or 46 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 18.
The square root of 22330404 is about 4725.5056872254. The cubic root of 22330404 is about 281.5997036681.
Multiplying 22330404 by its sum of digits (18), we get a cube (401947272 = 7383).
Adding to 22330404 its reverse (40403322), we get a palindrome (62733726).
The spelling of 22330404 in words is "twenty-two million, three hundred thirty thousand, four hundred four".
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