Base | Representation |
---|---|
bin | 101010101101… |
… | …1100001010000 |
3 | 1120010210002222 |
4 | 1111123201100 |
5 | 21213114320 |
6 | 2120000212 |
7 | 361232300 |
oct | 125334120 |
9 | 46123088 |
10 | 22394960 |
11 | 11706735 |
12 | 7600068 |
13 | 4841573 |
14 | 2d8d600 |
15 | 1e75825 |
hex | 155b850 |
22394960 has 120 divisors (see below), whose sum is σ = 62975880. Its totient is φ = 7375872.
The previous prime is 22394947. The next prime is 22394963. The reversal of 22394960 is 6949322.
22394960 is nontrivially palindromic in base 6.
It can be written as a sum of positive squares in 4 ways, for example, as 8317456 + 14077504 = 2884^2 + 3752^2 .
It is a Harshad number since it is a multiple of its sum of digits (35).
It is a self number, because there is not a number n which added to its sum of digits gives 22394960.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22394963) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 113582 + ... + 113778.
It is an arithmetic number, because the mean of its divisors is an integer number (524799).
Almost surely, 222394960 is an apocalyptic number.
22394960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22394960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31487940).
22394960 is an abundant number, since it is smaller than the sum of its proper divisors (40580920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22394960 is a wasteful number, since it uses less digits than its factorization.
22394960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 253 (or 240 counting only the distinct ones).
The product of its (nonzero) digits is 23328, while the sum is 35.
The square root of 22394960 is about 4732.3313493457. The cubic root of 22394960 is about 281.8708058006.
The spelling of 22394960 in words is "twenty-two million, three hundred ninety-four thousand, nine hundred sixty".
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