Base | Representation |
---|---|
bin | 1111010101111110000000 |
3 | 21120100100022 |
4 | 33111332000 |
5 | 2012202034 |
6 | 222113012 |
7 | 46121240 |
oct | 17257600 |
9 | 7510308 |
10 | 4022144 |
11 | 22a7995 |
12 | 141b768 |
13 | aaa989 |
14 | 769b20 |
15 | 546b2e |
hex | 3d5f80 |
4022144 has 48 divisors (see below), whose sum is σ = 9296280. Its totient is φ = 1698048.
The previous prime is 4022143. The next prime is 4022147. The reversal of 4022144 is 4412204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4022143) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59999 + ... + 60065.
Almost surely, 24022144 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4648140).
4022144 is an abundant number, since it is smaller than the sum of its proper divisors (5274136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4022144 is an frugal number, since it uses more digits than its factorization.
4022144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 155 (or 76 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 17.
The square root of 4022144 is about 2005.5283593108. The cubic root of 4022144 is about 159.0324947101.
Adding to 4022144 its reverse (4412204), we get a palindrome (8434348).
The spelling of 4022144 in words is "four million, twenty-two thousand, one hundred forty-four".
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