Base | Representation |
---|---|
bin | 101010100100… |
… | …1001111100110 |
3 | 1112222222102110 |
4 | 1111021033212 |
5 | 21203220402 |
6 | 2114221450 |
7 | 360501120 |
oct | 125111746 |
9 | 45888373 |
10 | 22320102 |
11 | 11665472 |
12 | 7584886 |
13 | 481647c |
14 | 2d70210 |
15 | 1e5d56c |
hex | 15493e6 |
22320102 has 64 divisors (see below), whose sum is σ = 53581824. Its totient is φ = 6065280.
The previous prime is 22320101. The next prime is 22320127. The reversal of 22320102 is 20102322.
It is a super-3 number, since 3×223201023 (a number of 23 digits) contains 333 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22320101) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82227 + ... + 82497.
It is an arithmetic number, because the mean of its divisors is an integer number (837216).
Almost surely, 222320102 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22320102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26790912).
22320102 is an abundant number, since it is smaller than the sum of its proper divisors (31261722).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22320102 is a wasteful number, since it uses less digits than its factorization.
22320102 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 373.
The product of its (nonzero) digits is 48, while the sum is 12.
The square root of 22320102 is about 4724.4155194055. The cubic root of 22320102 is about 281.5563922202.
Adding to 22320102 its reverse (20102322), we get a palindrome (42422424).
It can be divided in two parts, 22320 and 102, that added together give a palindrome (22422).
The spelling of 22320102 in words is "twenty-two million, three hundred twenty thousand, one hundred two".
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