Base | Representation |
---|---|
bin | 101010100010… |
… | …0010101110100 |
3 | 1112221221212200 |
4 | 1111010111310 |
5 | 21202100040 |
6 | 2113544500 |
7 | 360355431 |
oct | 125042564 |
9 | 45857780 |
10 | 22300020 |
11 | 11651376 |
12 | 7575130 |
13 | 480a2a2 |
14 | 2d66b88 |
15 | 1e57630 |
hex | 1544574 |
22300020 has 72 divisors (see below), whose sum is σ = 68064360. Its totient is φ = 5909760.
The previous prime is 22300013. The next prime is 22300027. The reversal of 22300020 is 2000322.
It is an interprime number because it is at equal distance from previous prime (22300013) and next prime (22300027).
It can be written as a sum of positive squares in 4 ways, for example, as 5702544 + 16597476 = 2388^2 + 4074^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 22299975 and 22300011.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22300027) 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, 40950 + ... + 41490.
Almost surely, 222300020 is an apocalyptic number.
22300020 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 22300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34032180).
22300020 is an abundant number, since it is smaller than the sum of its proper divisors (45764340).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22300020 is a wasteful number, since it uses less digits than its factorization.
22300020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 785 (or 780 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 9.
The square root of 22300020 is about 4722.2896988643. The cubic root of 22300020 is about 281.4719255801.
Adding to 22300020 its reverse (2000322), we get a palindrome (24300342).
The spelling of 22300020 in words is "twenty-two million, three hundred thousand, twenty".
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