| Base | Representation |
|---|---|
| bin | 1011111100101… |
| … | …01000110100000 |
| 3 | 20222120222110100 |
| 4 | 11332111012200 |
| 5 | 201124203230 |
| 6 | 13540102400 |
| 7 | 2324621310 |
| oct | 576250640 |
| 9 | 228528410 |
| 10 | 100225440 |
| 11 | 51635947 |
| 12 | 29694a00 |
| 13 | 179c22c3 |
| 14 | d44d440 |
| 15 | 8beb660 |
| hex | 5f951a0 |
100225440 has 288 divisors, whose sum is σ = 399724416. Its totient is φ = 22394880.
The previous prime is 100225403. The next prime is 100225441. The reversal of 100225440 is 44522001.
100225440 is a `hidden beast` number, since 1 + 0 + 0 + 225 + 440 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (100225441) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 614799 + ... + 614961.
It is an arithmetic number, because the mean of its divisors is an integer number (1387932).
Almost surely, 2100225440 is an apocalyptic number.
100225440 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 100225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199862208).
100225440 is an abundant number, since it is smaller than the sum of its proper divisors (299498976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100225440 is a wasteful number, since it uses less digits than its factorization.
100225440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 252 (or 241 counting only the distinct ones).
The product of its (nonzero) digits is 320, while the sum is 18.
The square root of 100225440 is about 10011.2656542517. The cubic root of 100225440 is about 464.5074215064.
Adding to 100225440 its reverse (44522001), we get a palindrome (144747441).
The spelling of 100225440 in words is "one hundred million, two hundred twenty-five thousand, four hundred forty".
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