Base | Representation |
---|---|
bin | 1000011101110110100000 |
3 | 11011202110220 |
4 | 20131312200 |
5 | 1032010144 |
6 | 115323040 |
7 | 24602424 |
oct | 10356640 |
9 | 4152426 |
10 | 2219424 |
11 | 1286539 |
12 | 8b0480 |
13 | 5c928c |
14 | 41ab84 |
15 | 2dc919 |
hex | 21dda0 |
2219424 has 48 divisors (see below), whose sum is σ = 5937120. Its totient is φ = 725760.
The previous prime is 2219423. The next prime is 2219449. The reversal of 2219424 is 4249122.
It is a tau number, because it is divible by the number of its divisors (48).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 2219394 and 2219403.
It is not an unprimeable number, because it can be changed into a prime (2219423) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5667 + ... + 6045.
It is an arithmetic number, because the mean of its divisors is an integer number (123690).
22219424 is an apocalyptic number.
2219424 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 2219424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968560).
2219424 is an abundant number, since it is smaller than the sum of its proper divisors (3717696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2219424 is a wasteful number, since it uses less digits than its factorization.
2219424 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 453 (or 445 counting only the distinct ones).
The product of its digits is 1152, while the sum is 24.
The square root of 2219424 is about 1489.7731370917. The cubic root of 2219424 is about 130.4407916845.
The spelling of 2219424 in words is "two million, two hundred nineteen thousand, four hundred twenty-four".
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