| Base | Representation |
|---|---|
| bin | 10001111101001… |
| … | …11101100000000 |
| 3 | 101111102221221000 |
| 4 | 20332213230000 |
| 5 | 302030230331 |
| 6 | 22540332000 |
| 7 | 3506234616 |
| oct | 1076475400 |
| 9 | 344387830 |
| 10 | 150633216 |
| 11 | 78034a68 |
| 12 | 42544000 |
| 13 | 252911a6 |
| 14 | 160116b6 |
| 15 | d3570e6 |
| hex | 8fa7b00 |
150633216 has 288 divisors, whose sum is σ = 497100800. Its totient is φ = 44789760.
The previous prime is 150633211. The next prime is 150633227. The reversal of 150633216 is 612336051.
150633216 is a `hidden beast` number, since 1 + 5 + 0 + 633 + 21 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a self number, because there is not a number n which added to its sum of digits gives 150633216.
It is not an unprimeable number, because it can be changed into a prime (150633211) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4071150 + ... + 4071186.
Almost surely, 2150633216 is an apocalyptic number.
150633216 is a gapful number since it is divisible by the number (16) 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 150633216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248550400).
150633216 is an abundant number, since it is smaller than the sum of its proper divisors (346467584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
150633216 is a wasteful number, since it uses less digits than its factorization.
150633216 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 112 (or 92 counting only the distinct ones).
The product of its (nonzero) digits is 3240, while the sum is 27.
The square root of 150633216 is about 12273.2724242559. The cubic root of 150633216 is about 532.0758932187.
Adding to 150633216 its reverse (612336051), we get a palindrome (762969267).
The spelling of 150633216 in words is "one hundred fifty million, six hundred thirty-three thousand, two hundred sixteen".
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