Base | Representation |
---|---|
bin | 1000100011010100000000 |
3 | 11012220011100 |
4 | 20203110000 |
5 | 1033214132 |
6 | 120014400 |
7 | 25024560 |
oct | 10432400 |
9 | 4186140 |
10 | 2241792 |
11 | 12a1323 |
12 | 901400 |
13 | 606507 |
14 | 424da0 |
15 | 2e437c |
hex | 223500 |
2241792 has 108 divisors (see below), whose sum is σ = 7440160. Its totient is φ = 635904.
The previous prime is 2241781. The next prime is 2241797. The reversal of 2241792 is 2971422.
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
Its product of digits (2016) is a multiple of the sum of its prime factors (168).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2241797) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16059 + ... + 16197.
22241792 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 2241792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720080).
2241792 is an abundant number, since it is smaller than the sum of its proper divisors (5198368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2241792 is a wasteful number, since it uses less digits than its factorization.
2241792 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 168 (or 151 counting only the distinct ones).
The product of its digits is 2016, while the sum is 27.
The square root of 2241792 is about 1497.2615002063. The cubic root of 2241792 is about 130.8775344813.
It can be divided in two parts, 224 and 1792, that added together give a triangular number (2016 = T63).
The spelling of 2241792 in words is "two million, two hundred forty-one thousand, seven hundred ninety-two".
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