| Base | Representation |
|---|---|
| bin | 110011010100011010001000… |
| … | …011110001110101000000000 |
| 3 | 1002121010222102122222021120200 |
| 4 | 303110122020132032220000 |
| 5 | 214040403334140433100 |
| 6 | 2120010240010005200 |
| 7 | 65353330211313540 |
| oct | 6324321036165000 |
| 9 | 1077128378867520 |
| 10 | 225702821030400 |
| 11 | 65a0903545841a |
| 12 | 21392876116800 |
| 13 | 98c28b938545c |
| 14 | 3da4109469320 |
| 15 | 1b160ad1dee00 |
| hex | cd468878ea00 |
225702821030400 has 5760 divisors, whose sum is σ = 1057402306920960. Its totient is φ = 44788875264000.
The previous prime is 225702821030387. The next prime is 225702821030459. The reversal of 225702821030400 is 4030128207522.
225702821030400 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 0 + 2 + 8 + 210 + 30 + 400 = 666.
It is a tau number, because it is divible by the number of its divisors (5760).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 994285555087 + ... + 994285555313.
It is an arithmetic number, because the mean of its divisors is an integer number (183576789396).
Almost surely, 2225702821030400 is an apocalyptic number.
225702821030400 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 225702821030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528701153460480).
225702821030400 is an abundant number, since it is smaller than the sum of its proper divisors (831699485890560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
225702821030400 is a wasteful number, since it uses less digits than its factorization.
225702821030400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 416 (or 392 counting only the distinct ones).
The product of its (nonzero) digits is 53760, while the sum is 36.
Adding to 225702821030400 its reverse (4030128207522), we get a palindrome (229732949237922).
The spelling of 225702821030400 in words is "two hundred twenty-five trillion, seven hundred two billion, eight hundred twenty-one million, thirty thousand, four hundred".
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