Base | Representation |
---|---|
bin | 101010010110… |
… | …0111001000100 |
3 | 1112210002010100 |
4 | 1110230321010 |
5 | 21141011342 |
6 | 2111524100 |
7 | 356505420 |
oct | 124547104 |
9 | 45702110 |
10 | 22203972 |
11 | 1159619a |
12 | 7529630 |
13 | 47a565b |
14 | 2d3db80 |
15 | 1e38e4c |
hex | 152ce44 |
22203972 has 144 divisors (see below), whose sum is σ = 69818112. Its totient is φ = 5806080.
The previous prime is 22203971. The next prime is 22203983. The reversal of 22203972 is 27930222.
It is not an unprimeable number, because it can be changed into a prime (22203971) 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 47 ways as a sum of consecutive naturals, for example, 304128 + ... + 304200.
It is an arithmetic number, because the mean of its divisors is an integer number (484848).
Almost surely, 222203972 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 22203972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34909056).
22203972 is an abundant number, since it is smaller than the sum of its proper divisors (47614140).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22203972 is a wasteful number, since it uses less digits than its factorization.
22203972 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 178 (or 173 counting only the distinct ones).
The product of its (nonzero) digits is 3024, while the sum is 27.
The square root of 22203972 is about 4712.1090819292. The cubic root of 22203972 is about 281.0672365206.
It can be divided in two parts, 222039 and 72, that added together give a triangular number (222111 = T666).
The spelling of 22203972 in words is "twenty-two million, two hundred three thousand, nine hundred seventy-two".
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