Base | Representation |
---|---|
bin | 110011001101010010111110… |
… | …001011101001111000000000 |
3 | 1002112102020221120100012211000 |
4 | 303031102332023221320000 |
5 | 214004401432014443300 |
6 | 2114553532145252000 |
7 | 65303116150022160 |
oct | 6315227613517000 |
9 | 1075366846305730 |
10 | 225214095859200 |
11 | 6583a84187a758 |
12 | 21314001034000 |
13 | 98887a1088a16 |
14 | 3d885c58165a0 |
15 | 1b08507336c00 |
hex | ccd4be2e9e00 |
225214095859200 has 1920 divisors, whose sum is σ = 969093099786240. Its totient is φ = 50160107520000.
The previous prime is 225214095859169. The next prime is 225214095859201. The reversal of 225214095859200 is 2958590412522.
225214095859200 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 1 + 40 + 9 + 5 + 8 + 592 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1920).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (225214095859201) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26492654950 + ... + 26492663450.
It is an arithmetic number, because the mean of its divisors is an integer number (504735989472).
Almost surely, 2225214095859200 is an apocalyptic number.
225214095859200 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 225214095859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484546549893120).
225214095859200 is an abundant number, since it is smaller than the sum of its proper divisors (743879003927040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
225214095859200 is a wasteful number, since it uses less digits than its factorization.
225214095859200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8825 (or 8798 counting only the distinct ones).
The product of its (nonzero) digits is 5184000, while the sum is 54.
The spelling of 225214095859200 in words is "two hundred twenty-five trillion, two hundred fourteen billion, ninety-five million, eight hundred fifty-nine thousand, two hundred".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.075 sec. • engine limits •