| Base | Representation |
|---|---|
| bin | 11010110101100… |
| … | …01001110110000 |
| 3 | 120200121100020020 |
| 4 | 31122301032300 |
| 5 | 430112334300 |
| 6 | 34201043440 |
| 7 | 5402333013 |
| oct | 1532611660 |
| 9 | 520540206 |
| 10 | 225121200 |
| 11 | 106090987 |
| 12 | 63486580 |
| 13 | 37841715 |
| 14 | 21c8137a |
| 15 | 14b6c8a0 |
| hex | d6b13b0 |
225121200 has 120 divisors (see below), whose sum is σ = 746120400. Its totient is φ = 57953280.
The previous prime is 225121153. The next prime is 225121207. The reversal of 225121200 is 2121522.
225121200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (120).
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 225121200.
It is not an unprimeable number, because it can be changed into a prime (225121207) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31566 + ... + 38034.
It is an arithmetic number, because the mean of its divisors is an integer number (6217670).
Almost surely, 2225121200 is an apocalyptic number.
225121200 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 225121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373060200).
225121200 is an abundant number, since it is smaller than the sum of its proper divisors (520999200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
225121200 is a wasteful number, since it uses less digits than its factorization.
225121200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6519 (or 6508 counting only the distinct ones).
The product of its (nonzero) digits is 80, while the sum is 15.
The square root of 225121200 is about 15004.0394560931. The cubic root of 225121200 is about 608.3293892699.
Adding to 225121200 its reverse (2121522), we get a palindrome (227242722).
The spelling of 225121200 in words is "two hundred twenty-five million, one hundred twenty-one thousand, two hundred".
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