Base | Representation |
---|---|
bin | 1000010111000011… |
… | …0000001110000000 |
3 | 12210101202122021000 |
4 | 2011300300032000 |
5 | 14044000301034 |
6 | 1010403532000 |
7 | 106416650535 |
oct | 20560601600 |
9 | 5711678230 |
10 | 2244150144 |
11 | a51845245 |
12 | 52768a000 |
13 | 299c1c1c2 |
14 | 174090d8c |
15 | d203d599 |
hex | 85c30380 |
2244150144 has 128 divisors (see below), whose sum is σ = 7013152800. Its totient is φ = 704028672.
The previous prime is 2244150143. The next prime is 2244150149. The reversal of 2244150144 is 4410514422.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-3 number, since 3×22441501443 (a number of 29 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2244150143) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39654 + ... + 77850.
Almost surely, 22244150144 is an apocalyptic number.
2244150144 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 2244150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3506576400).
2244150144 is an abundant number, since it is smaller than the sum of its proper divisors (4769002656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2244150144 is a wasteful number, since it uses less digits than its factorization.
2244150144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 38237 (or 38219 counting only the distinct ones).
The product of its (nonzero) digits is 5120, while the sum is 27.
The square root of 2244150144 is about 47372.4618739622. The cubic root of 2244150144 is about 1309.2340848453.
Adding to 2244150144 its reverse (4410514422), we get a palindrome (6654664566).
The spelling of 2244150144 in words is "two billion, two hundred forty-four million, one hundred fifty thousand, one hundred forty-four".
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