Base | Representation |
---|---|
bin | 101001111101… |
… | …1001001100000 |
3 | 1112101201122010 |
4 | 1103323021200 |
5 | 21113001344 |
6 | 2103312520 |
7 | 354666411 |
oct | 123731140 |
9 | 45351563 |
10 | 22000224 |
11 | 11467104 |
12 | 744b740 |
13 | 47339ac |
14 | 2cc9808 |
15 | 1de88b9 |
hex | 14fb260 |
22000224 has 48 divisors (see below), whose sum is σ = 58348080. Its totient is φ = 7257600.
The previous prime is 22000211. The next prime is 22000243. The reversal of 22000224 is 42200022.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (48).
It is a Harshad number since it is a multiple of its sum of digits (12).
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, 8562 + ... + 10830.
It is an arithmetic number, because the mean of its divisors is an integer number (1215585).
Almost surely, 222000224 is an apocalyptic number.
22000224 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 22000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29174040).
22000224 is an abundant number, since it is smaller than the sum of its proper divisors (36347856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22000224 is a wasteful number, since it uses less digits than its factorization.
22000224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2383 (or 2375 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 12.
The square root of 22000224 is about 4690.4396382429. The cubic root of 22000224 is about 280.2048840575.
Adding to 22000224 its reverse (42200022), we get a palindrome (64200246).
It can be divided in two parts, 2200022 and 4, that multiplied together give a palindrome (8800088).
The spelling of 22000224 in words is "twenty-two million, two hundred twenty-four", and thus it is an aban number.
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