Base | Representation |
---|---|
bin | 10001101010110… |
… | …11100000000000 |
3 | 101022220120002210 |
4 | 20311123200000 |
5 | 300421132000 |
6 | 22412542120 |
7 | 3446611641 |
oct | 1065334000 |
9 | 338816083 |
10 | 148224000 |
11 | 76739981 |
12 | 41781940 |
13 | 24929712 |
14 | 159856c8 |
15 | d02d350 |
hex | 8d5b800 |
148224000 has 192 divisors, whose sum is σ = 495724320. Its totient is φ = 39321600.
The previous prime is 148223951. The next prime is 148224019. The reversal of 148224000 is 422841.
It is a tau number, because it is divible by the number of its divisors (192).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 767904 + ... + 768096.
Almost surely, 2148224000 is an apocalyptic number.
148224000 is a gapful number since it is divisible by the number (10) 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 148224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247862160).
148224000 is an abundant number, since it is smaller than the sum of its proper divisors (347500320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
148224000 is an equidigital number, since it uses as much as digits as its factorization.
148224000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 233 (or 203 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 21.
The square root of 148224000 is about 12174.7279230380. The cubic root of 148224000 is about 529.2239740637.
Adding to 148224000 its reverse (422841), we get a palindrome (148646841).
The spelling of 148224000 in words is "one hundred forty-eight million, two hundred twenty-four thousand".
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