| Base | Representation |
|---|---|
| bin | 11010110000010… |
| … | …11011010010000 |
| 3 | 120122022211112200 |
| 4 | 31120023122100 |
| 5 | 424424121000 |
| 6 | 34134323200 |
| 7 | 5363503566 |
| oct | 1530133220 |
| 9 | 518284480 |
| 10 | 224442000 |
| 11 | 105767662 |
| 12 | 631b9500 |
| 13 | 37664523 |
| 14 | 21b45a36 |
| 15 | 14a86500 |
| hex | d60b690 |
224442000 has 240 divisors, whose sum is σ = 807476592. Its totient is φ = 58060800.
The previous prime is 224441993. The next prime is 224442013. The reversal of 224442000 is 244422.
224442000 is a `hidden beast` number, since 2 + 244 + 420 + 0 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 51151104 + 173290896 = 7152^2 + 13164^2 .
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×2244420002 = 100748422728000000, which contains 22 as substring.
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 47 ways as a sum of consecutive naturals, for example, 665832 + ... + 666168.
Almost surely, 2224442000 is an apocalyptic number.
224442000 is a gapful number since it is divisible by the number (20) 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 224442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403738296).
224442000 is an abundant number, since it is smaller than the sum of its proper divisors (583034592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
224442000 is a wasteful number, since it uses less digits than its factorization.
224442000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 403 (or 384 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 18.
The square root of 224442000 is about 14981.3884536781. The cubic root of 224442000 is about 607.7169879746.
Adding to 224442000 its reverse (244422), we get a palindrome (224686422).
It can be divided in two parts, 2244 and 42000, that added together give a palindrome (44244).
The spelling of 224442000 in words is "two hundred twenty-four million, four hundred forty-two thousand".
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