Base | Representation |
---|---|
bin | 101010101000… |
… | …0100101000000 |
3 | 1120001111122010 |
4 | 1111100211000 |
5 | 21210201034 |
6 | 2115012520 |
7 | 360654525 |
oct | 125204500 |
9 | 46044563 |
10 | 22350144 |
11 | 11685aa3 |
12 | 759a140 |
13 | 482704b |
14 | 2d7b14c |
15 | 1e673e9 |
hex | 1550940 |
22350144 has 56 divisors (see below), whose sum is σ = 60167520. Its totient is φ = 7320064.
The previous prime is 22350131. The next prime is 22350151. The reversal of 22350144 is 44105322.
It is a self number, because there is not a number n which added to its sum of digits gives 22350144.
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, 10342 + ... + 12314.
It is an arithmetic number, because the mean of its divisors is an integer number (1074420).
Almost surely, 222350144 is an apocalyptic number.
22350144 is a gapful number since it is divisible by the number (24) 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 22350144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30083760).
22350144 is an abundant number, since it is smaller than the sum of its proper divisors (37817376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22350144 is a wasteful number, since it uses less digits than its factorization.
22350144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2047 (or 2037 counting only the distinct ones).
The product of its (nonzero) digits is 960, while the sum is 21.
The square root of 22350144 is about 4727.5938911882. The cubic root of 22350144 is about 281.6826569512.
Adding to 22350144 its reverse (44105322), we get a palindrome (66455466).
The spelling of 22350144 in words is "twenty-two million, three hundred fifty thousand, one hundred forty-four".
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