Base | Representation |
---|---|
bin | 100100100000100… |
… | …1000101010100000 |
3 | 10011101010012021110 |
4 | 1021001020222200 |
5 | 10002102100100 |
6 | 321320423320 |
7 | 42233422602 |
oct | 11101105240 |
9 | 3141105243 |
10 | 1225034400 |
11 | 579555527 |
12 | 2a2317b40 |
13 | 166a4b235 |
14 | b89a9172 |
15 | 72833250 |
hex | 49048aa0 |
1225034400 has 144 divisors (see below), whose sum is σ = 3999681504. Its totient is φ = 325678080.
The previous prime is 1225034387. The next prime is 1225034411. The reversal of 1225034400 is 44305221.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1120254 + ... + 1121346.
It is an arithmetic number, because the mean of its divisors is an integer number (27775566).
Almost surely, 21225034400 is an apocalyptic number.
1225034400 is a gapful number since it is divisible by the number (10) 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 1225034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999840752).
1225034400 is an abundant number, since it is smaller than the sum of its proper divisors (2774647104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1225034400 is a wasteful number, since it uses less digits than its factorization.
1225034400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1583 (or 1570 counting only the distinct ones).
The product of its (nonzero) digits is 960, while the sum is 21.
The square root of 1225034400 is about 35000.4914251214. The cubic root of 1225034400 is about 1069.9974961365.
Adding to 1225034400 its reverse (44305221), we get a palindrome (1269339621).
The spelling of 1225034400 in words is "one billion, two hundred twenty-five million, thirty-four thousand, four hundred".
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