Base | Representation |
---|---|
bin | 1000100001100000100000 |
3 | 11012112000120 |
4 | 20201200200 |
5 | 1033000100 |
6 | 115520240 |
7 | 24664200 |
oct | 10414040 |
9 | 4175016 |
10 | 2234400 |
11 | 1296813 |
12 | 8b9080 |
13 | 60303c |
14 | 422400 |
15 | 2e20a0 |
hex | 221820 |
2234400 has 216 divisors, whose sum is σ = 8905680. Its totient is φ = 483840.
The previous prime is 2234341. The next prime is 2234417. The reversal of 2234400 is 44322.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 2234400.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117591 + ... + 117609.
It is an arithmetic number, because the mean of its divisors is an integer number (41230).
22234400 is an apocalyptic number.
2234400 is a gapful number since it is divisible by the number (20) 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 2234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452840).
2234400 is an abundant number, since it is smaller than the sum of its proper divisors (6671280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2234400 is a wasteful number, since it uses less digits than its factorization.
2234400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 56 (or 36 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 15.
The square root of 2234400 is about 1494.7909552844. The cubic root of 2234400 is about 130.7335258745.
Adding to 2234400 its reverse (44322), we get a palindrome (2278722).
The spelling of 2234400 in words is "two million, two hundred thirty-four thousand, four hundred".
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