Base | Representation |
---|---|
bin | 101010010110… |
… | …0000011000100 |
3 | 1112202220101100 |
4 | 1110230003010 |
5 | 21140404031 |
6 | 2111500100 |
7 | 356462352 |
oct | 124540304 |
9 | 45686340 |
10 | 22200516 |
11 | 11593638 |
12 | 7527630 |
13 | 47a3c00 |
14 | 2d3c7d2 |
15 | 1e37de6 |
hex | 152c0c4 |
22200516 has 108 divisors (see below), whose sum is σ = 62948340. Its totient is φ = 6589440.
The previous prime is 22200509. The next prime is 22200527. The reversal of 22200516 is 61500222.
It can be written as a sum of positive squares in 6 ways, for example, as 12278016 + 9922500 = 3504^2 + 3150^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 249400 + ... + 249488.
It is an arithmetic number, because the mean of its divisors is an integer number (582855).
Almost surely, 222200516 is an apocalyptic number.
22200516 is a gapful number since it is divisible by the number (26) 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 22200516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31474170).
22200516 is an abundant number, since it is smaller than the sum of its proper divisors (40747824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22200516 is a wasteful number, since it uses less digits than its factorization.
22200516 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 166 (or 148 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
The square root of 22200516 is about 4711.7423528882. The cubic root of 22200516 is about 281.0526532624.
Adding to 22200516 its reverse (61500222), we get a palindrome (83700738).
The spelling of 22200516 in words is "twenty-two million, two hundred thousand, five hundred sixteen".
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