Base | Representation |
---|---|
bin | 101010010110… |
… | …0011101110000 |
3 | 1112202222201121 |
4 | 1110230131300 |
5 | 21140432344 |
6 | 2111512024 |
7 | 356500342 |
oct | 124543560 |
9 | 45688647 |
10 | 22202224 |
11 | 11594950 |
12 | 7528614 |
13 | 47a4915 |
14 | 2d3d292 |
15 | 1e38684 |
hex | 152c770 |
22202224 has 40 divisors (see below), whose sum is σ = 47430000. Its totient is φ = 9984000.
The previous prime is 22202209. The next prime is 22202249. The reversal of 22202224 is 42220222.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 22202198 and 22202207.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17152 + ... + 18400.
It is an arithmetic number, because the mean of its divisors is an integer number (1185750).
Almost surely, 222202224 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 22202224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23715000).
22202224 is an abundant number, since it is smaller than the sum of its proper divisors (25227776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22202224 is a wasteful number, since it uses less digits than its factorization.
22202224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1369 (or 1363 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 16.
The square root of 22202224 is about 4711.9235987015. The cubic root of 22202224 is about 281.0598606868.
Adding to 22202224 its reverse (42220222), we get a palindrome (64422446).
It can be divided in two parts, 2220222 and 4, that multiplied together give a palindrome (8880888).
The spelling of 22202224 in words is "twenty-two million, two hundred two thousand, two hundred twenty-four".
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